Statisticians use the following notation to describe probabilities: p (x) = the likelihood that random variable takes a specific value of x. The normal distribution is a continuous probability distribution that is symmetrical around its mean, most . Determine whether each of the distributions given below represents a probability distribution. i.e. X P(X) 1 1/10 2 3/10 3 1/10 4 2/10 5 3/10 2. The sum of all the probabilities is 1, so P P(x) = 1. 9. Determine whether each of the distributions given below represents a probability distribution. If there are 50 trials, the expected value of the number of heads is 25 (50 x 0.5). If not, identify. Explain why or why not. General Properties of Probability Distributions. . A. -0.3 6. The WHO has established a control strategy for Strongyloides stercoralis in school-aged children as well as targets and to maintain control programs for Ascaris lumbricoides, Trichuris trichiura and hookworms. Advertisement Answer 3.4 /5 198 RollingGirl Answer: 1) No, it's not a distribution. х o 2 1 0.18 P(x) 3 0.11 4 0.19 0.31 0.05 Choose all correct answers from the below list. random and then replaced. Determine whether each of the distributions given below represents a probability distribution. Answer \begin{array}{c|c|c} x & 0 & 1 & 2 \\ . Discrete Probability Distribution Now that we know something about probability, we can extend the concepts that were discussed earlier in this course, specifically, relative-frequency distribution, mean and standard deviation, which we applied to . Chapter 5.2 #3, 7, 11, 12, 13, 15, 18. If not identify any requirements that are not satisfied. If it is a probability distribution, sketch its graph. -2 1 4 7 P (x) 0.2 0.4 0.1 0.3 À Send data to Excel a probability distribution. Determine whether the given values can serve as the values of a probability distribution of the random variable X that can take only the values 1, 2, 3, and 4. Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. random and then replaced. A large retail company encourages its employees to get customers to apply for the store credit card. For exercises 6 through 11, determine whether the distribution represents a probability distribution. (b) Compute the mean and standard deviation of the random variable. If not, state why. Each P(x) is between 0 and 1. P(x) = 1.2 is not between 0 and 1, 2. p x( ) 2 . General Properties of Probability Distributions. Using Probability Plots to Identify the Distribution of Your Data. Below is the distribution for the number of credit card applications . If not, identify any requirements that are not satisfied. Solution for A. ∑ P (x) = 1 Each probability must be between 0 and 1 inclusive. A probability distribution is a mathematical description of the probabilities of events, subsets of the sample space.The sample space, often denoted by , is the set of all possible outcomes of a random phenomenon being observed; it may be any set: a set of real numbers, a set of vectors, a set of arbitrary non-numerical values, etc.For example, the sample space of a coin flip would be Ω . thumb_up 100%. P (X=x) 3/4. The first is that each probability must be greater than or equal to zero. The range for the data in 'Table 2.1 is 9.7 (12.0~2.3), 'The second step in constructing a frequency distribution is to determine how 'many classes it will contain, One rule of thumb is to select between 3 and 15 classes. x P(x) 20 0.2 30 0.2 40 0.2 50 0.2 60 - Answered by a verified Math Tutor or Teacher. 3 . If does not, explain why. Toggle navigation . Probability distributions indicate the likelihood of an event or outcome. Determine whether the distribution represents a probability distribution. Event A is selecting a five. If your data follow the straight line on the graph, the distribution fits your data. Justify your - Answered by a verified Math Tutor or Teacher. 6. (A) x 1 2 3 4 P(x) 0.25 5/12 1/3 1/6 (B) x 3 6 8 . (Two entries in the table will contain C.); Compute the expected value E (X) of X.; Determine the value C must have in order for the company to break even on all such policies (that is, to average a net gain of zero per policy on such policies). thumb_up 100%. Explain your answer. Transcribed image text: QUESTION 10 Determine whether the distribution represents a discrete probability distribution. | x |P(x) |1 | 0.2 |2 |0.2 |3 . P (x)=x/x+2 for X=0,1,2 pasali po See more comments Advertisement Still have questions? Using the data given below, determine whether it would unusual for a household to have no HD televisions. For Exercises 7 through 12, determine whether the distribution represents a probability distribution. Find more answers Ask your question Previous Next Write PD if it is a probability distribution and DPD if it is not on the space provided. At Shoe World, the manager finds the probability that a woman will buy 1, 2, 3, or 4 pairs of shoes is shown. You can not edit this directly. Independent Activity IV Face Mask Julia is a boutique shop owner in her town. For example, when tossing a coin, the probability of obtaining a head is 0.5. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive. P (4)= .27 Find the variable of probabilty distribution 0 2 = Determine which of the following could not represent the probability of an event. For exercises 6 through 11, determine whether the distribution represents a probability distribution. x. P (x) 0. E= 50%. 10 ( ) 1 10 p x . x P(x) 20 0.2 30 0.2 40 0.2 50 0.2 60 - Answered by a verified Math Tutor or Teacher. Construct a probability distribution for the data if x represents the value of a single bill drawn at . Today we'll be discussing the definition of a probability distribution. Yeah, this problem. The first is that each probability must be greater than or equal to zero. A. −4. It has the following properties: The probability of each value of the discrete random variable is between 0 and 1, so 0 P(x) 1. Justify your - Answered by a verified Math Tutor or Teacher. 1. The sum of the probabilities of the outcomes must be 1. 2. Step-by-step explanation: because EP (x) = 1/3 + 1/3 + 1/3 + 1/3 + 1/3 = 5/3 which is not = or ≠ to 1 If it does not, state why. If it does not, chose the correct reason as to why. For exercises 6 through 11, determine whether the distribution represents a probability distribution. The sum of all probabilities for all possible values must equal 1. Probability distributions indicate the likelihood of an event or outcome. Chapter 5.2 #3, 7, 11, 12, 13, 15, 18. The distribution (Choose one) represents does not represent. Examples Determine if each of the following tables represents a probability distribution: 1. x 5 6 9 P(x) 0.5 0.25 0.25 1. C= 550/1259. We would like to determine if the table that we have been given represents a discreet probability distribution function. X 3 6 8 12 P(x) 0.3 0.5 0.7 -0.8 7. . Correct answers: 3 question: Determine whether the distributions represent a probability distribution. If the frequency distribution contains too few classes, the data summary may be too general to be useful. Answer: No, the given distribution does not represents a probability distribution. Step-by-step explanation: In a probability distribution the sum of all the probabilities in a discrete probability distribution must add up to 1 and each individual probability can never be negative or greater than.. Here, P(3) = -3, which is negative, so, the given distribution does not represents a probability . Explain your answer. 9. Math; Statistics and Probability; Statistics and Probability questions and answers; Determine whether the distribution represents a probability distribution 5 6 7 8 X . For example, if a coin is tossed three times, then the number of heads . Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. B= 0.009. along with its probability. Numbers 1 - 2. To recall, the probability is a measure of uncertainty of various phenomena. = 10 10 = 1, yes 1. (A) - Answered by a verified Tutor . Determine whether the distribution represents a probability distribution. A bivariate probability density function (bPDF) then was computed for this distribution using an open source script,19 with a 256 × 256 mesh and a 1° kernel bandwidth.20 The isocontour that encompassed 68% of the highest probability density data was subjected to further analysis to determine the accuracy and precision along and orthogonal to . EXAMPLE 3 Using the Hypergeometric Probability Distribution Problem: The hypergeometric probability distribution is used in acceptance sam-pling. 1 x 1 5 7 8 p(x) 1/4 1/8 1/4 A probability function is a function which assigns probabilities to the values of a random variable. The sum of all the probabilities is 1, so ∑ P (x) = 1. (Two entries in the table will contain C.); Compute the expected value E (X) of X.; Determine the value C must have in order for the company to break even on all such policies (that is, to average a net gain of zero per policy on such policies). Determine whether the table represents a discrete probability distribution. Decide whether the distribution is a probability distribution. . variable Construct the probability mass function of a discrete random variable and its corresponding histogram A. The number of televisions (HD) per household in a small town. Construct the probability distribution of X. 2. ; Represent a Probability Distribution . Use the normal approximation to find the probability that x = 2. Determine whether the table represents a discrete probability distribution. 0.4 x P(x) 0 0.08 1 .19 2 .12 3 .06 4 .55 Answer by Fombitz(32382) (Show Source): If it does not, state why. Step-by-step explanation: Just add all the given values. If not, identify the requirement that is not satisfied. If not, explain why . 00:13:17 - Find the probability distribution if a coin is tossed three times (Example #1) 00:19:30 - Determine if the given table is a probability distribution (Examples #2-4) 00:30:29 - Given the probability distribution find the probability of an event and create a histogram (Examples #5-8) If it is not a probability distribution, state any properties that are not satisfied. x P(x) 3 -0.3 6 0.5 9 0.1 12 0.3 15 0.4 . The table on the right describes the probability of having x number of girls. - 12305016 avenidomaryjean09 avenidomaryjean09 15.03.2021 Math Senior High School answered Determine whether the distribution represents a probability distribution or not. C denote how much the insurance company charges such a person for such a policy. Determine whether the . For discrete variables, this will usually take the form of a table, listing a probability for each individual outcome. Determine whether the distribution represents a probability distribution or not. Probability Distribution: A set of probabilities for a given variable. Explain your answer. A discrete random variable is a random variable that has countable values. Construct a graph for the distribution. If it is not a probability distribution, identify the property that is not satisfied. Step 2: Check that the sum of all. It would be unusual because the probability of having no HD televisions is less than 0.05. A. We use cookies to give you the best possible experience on our website. Transcribed Image Text: Activity 2: Constructing Probability Distributions Target Skills: Illustrate a probability distribution for a discrete random variable and its properties Compute probabilities corresponding to a given random variable Construct the probability mass function of a discrete random variable and its corresponding histogram A. If not, identify any requirements that are not satisfied 3-0 6 0.5 9 0.1 12 0.3 15 0.4 ; Question: Provide an appropriate response. X 1 5 7 8 P(X) 1/4 1/8 1/4 1/8 2. Statistics and Probability; Statistics and Probability questions and answers; Provide an appropriate response. 3 . A= 0. Determine whether each of the distributions given below represents a probability distribution. Each probability must be between 0 and 1 inclusive. Probability plots might be the best way to determine whether your data follow a particular distribution. . 0.3 15. Question. There is no requirement that the values of the . Determine whether or not distribution represents a probability distribution. Determine whether the distribution represents a probability distribution. A discrete probability distribution lists each possible value that a random variable can take, along with its probability. If it does not, state why. Determine whether the distribution represents a probability distribution or not. But before we get to that main topic, we need to review some of the simple terms will use in . P (X=x) 3/4. For an efficient development of control programs, it is necessary to know the target countries around the world, as well as the areas within each country where efforts should be focused. Construct a probability distribution for the data if x represents the value of a single bill drawn at . If it does not, state why. Explain your answer. If not, any requirements that are not satisfied. For Exercises 1 through 3, determine whether the distribution represents a probability distribution. The variable is said to be random if the sum of the probabilities is one. Exercises 1 Use the multinomial formula and find the probabilities for each. If not, identify any requirements that are not satisfied. 0.1 12. Justify your answer. Determine the # of outcomes in event A. (c) Graph the binomial probability distribution, comment on its shape, and label the mean on the graph. Most people recognize its familiar bell-shaped curve in statistical reports. (Table cant copy) −4. Step 2: Determine whether the sum of. How to Determine Valid Probability Distributions of Discrete Random Variables: Step 1: Check to ensure each individual probability is between 0 and 1. Determine whether each of the distributions given below represents a probability distribution. If it does, find the mean and standard deviation. One worker in four in America admits that she or he has Question 963706: Determine whether the distribution represents a probability distribution (yes or no). Construct the probability distribution of X. X 0 2 3 4 6 . (A) x 1 2 3 4 P (x) 0.3 1/5 1/5 3/10 --- Ans: Yes because each probability is between 0 and 1 And the sum of the probabilities is 1 ------------------------------------------- (B) x 3 6 8 P (x) 0.2 3/5 3/10 --- Justify your answer. 7. We would like to determine if the table that we have been given represents a discreet probability distribution function. 1 x 1 5 7 8 p(x) 1/4 1/8 1/4 Can you please tell me how to solve this? The sum of all probabilities for all possible values must equal 1. The value of a binomial is obtained by multiplying the number of independent trials by the successes. Explain your answer. Explain your answer. 7. . Also read, events in probability, here. Determine whether this table represents a probability distribution. *Horizontal Axis = Probability P(T) C. Determine whether the given values can serve as the values of a probability distribution of the random variable X that can take only the values 1, 2, and 3. x. Also, the sum of the probabilities does not equal one. If it does not, state why. x P(x) 1 0.038 2 0.200 3 0.445 4 0.294 Answer: NO All probabilities are greater than or equal to 0 and less than or equal to 1 but The sum of all probabilities is not 1 No, we cannot have negative numbers, and P(x) does not equal 1. In Statistics, the probability distribution gives the possibility of each outcome of a random experiment or event. x. How to Determine if a Probability Distribution is Valid Step 1: Determine whether each probability is greater than or equal to 0 and less than or equal to 1. It's important to remember whenever we're looking at the is that there are two conditions that must be satisfied. Choose the correct answer below. X. P 3. Determine whether the distribution represents a probability distribution. If it does not, state why. Determine whether the distribution represents a probability distribution. Suppose that a machine shop orders 500 bolts from a supplier.To determine whether to accept the shipment of bolts,the manager of the facility randomly selects 12 bolts. P(X) 2 4 8 . Determine if the following probability experiment represents a binomial experiment A random sample of 15 high school seniors is obtained, and the individuals selected asked to stated their hair length. A discrete probability distribution describes the probability of the occurrence of each value of a discrete random variable. X -2 0 2 5 P(X) 0.3 0.4 0.2 0.1 Answer by richard1234(7193) (Show Source): Determine whether the distribution represents a probability distribution or not. Determine whether the distribution is a discrete probability distribution. Determine whether each of the distributions given below represents a probability distribution. Determine whether each of the distributions given below represents a probability distribution. It has the following properties: The probability of each value of the discrete random variable is between 0 and 1, so 0 ≤ P (x) ≤ 1. C denote how much the insurance company charges such a person for such a policy. Yeah, this problem. Determine whether or not the distribution represents a probability distribution - 12800898 dealcamae1001 dealcamae1001 30.03.2021 Math Senior High School answered Determine whether or not the distribution represents a probability distribution 1 See answer . Conditions for the discrete probability distribution: The sum of all probability is equal to 1. i.e. If it does not, state why. Determine the required value of the missing probability to make the distribution a discrete probability distribution. It provides the probabilities of different possible occurrences. If these two conditions aren't met, then the function isn't a probability function. Determine whether the table represents a discrete probability distribution. Find the probability that x = 2 using the binomial tables ii. . 1. The binomial distribution is used in statistics as a building block for . Related post: Understanding the Weibull Distribution. Question 925140: Determine whether the following is a probability distribution. No, this is not a probability distribution The probability of each value of the discrete random variable is between 0 and 1, inclusive, The sum of all the . Determine whether the distribution represents a probability distribution yes or no. X 3 6 8 12 P(x) 0.3 0.5 0.7 -0.8 7. . P (x)=x/6 for X=1,2,3 2. X P(X) 5 .3 10 .4 15 .1 3. No, because the probabilities must all be between 0 and 1 inclusive.. B. 38) Determine whether the distribution represents a probability distribution. Justify your answer. Explain why or why not. Please explain answer. Let the random variable x represent the number of girls in a family with three children. Determine whether the distribution is a discrete probability distribution x P(x) 0 0.07 1 0.37 2 0.32 3 0.09 4 0.15 . The normal distribution, also known as the Gaussian distribution, is the most important probability distribution in statistics for independent, random variables. Independent Activity III Rolling Two Dice Using the sample space for rolling two dice, illustrates a probability distribution for the random variable X representing the sum of the numbers that appear.