Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
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- 2) Consider each distribution. Determine if it is a valid probability distribution or not and explain your answer. b, 2. 1. 2. P(x) 0.25 0.60 0.15 P(x) 0.25 0,60 0,20USATestprep, LLC.... T-Rex Chrome Offli... M Inbox (307)-randol... R6.1. Knees Patients receiving artificial knees oft experience pain after surgery. The pain is measured one subjective scale with possible values of 1 (low) to 5 (high Let X be the pain score for a randomly selected patient. The following table gives part of the probability distribution for X 2 Value: Probability: (b) (c) #3 54 1 0.1 $ N % 2 0.2 Find PIX= 5). If two patients who received artificial knees are cho sen at random, what's the probability that both of them report pain scores of 1 or 27 Show your work Compute the mean and standard deviation of X Show your work. 5 D Get the Most Out of.... A Registration - Paym.. 6 3 4 0.3 0.3 08 5 7 77College students are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. D. No, the numerical values of the random variable x are not associated with probabilities. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. H= students (Round to one decimal place as needed.) O B.…
- The table below shows the grade distribution for a section in 6 classes. Determine if each of the distributions 1-6 are valid probability distributions or not and explain your reasoning. Distribution A B C D E 1 0.3 0.3 0.3 0.2 0.1 2 0 0 1 0 0 3 0.3 0.3 0.3 0 0 4 0.3 0.5 0.2 0.1 -0.1 5 0.2 0.4 0.2 0.1 0.1 6 0 -0.1 1.1 0 0Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.Identify if the statement below is true or false: The sum of the probabilities in a discrete random probability distribution varies from distribution to distribution.
- Determine whether the distribution is a discrete probability distribution. Is the distribution a discrete probability distribution? Why? Choose the correct answer below. O A. No, because some of the probabilities have values greater than 1 or less than 0. O B. Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive. O C. Yes, because the distribution is symmetric. O D. No, because the total probability is not equal to 1. CH X P(x) 0 0.16 1 0.21 0.26 0.21 0.16 3 4Use the geometric distribution to calculate the following probabilities. a.Find the probability that the first success occurs on the third trial when ?=0.3p=0.3. b.Find the probability that the first success occurs on the fifth trial when ?=0.3p=0.3. c.Find the probability that the first success occurs on the third trial or later when ?=0.3p=0.3. d.Find the probability that the first success occurs on or before the third trial ?=0.3p=0.3. e.Find the probability that the first success occurs on the second or third trial when ?=0.3p=0.3.The following table lists certain values of x and their probabilities. Verify whether or not it represents a valid probability distribution. P(x) 0 0.31 1 0.30 2 0.19 3 0.16 The table a valid probability distribution.
- Assume each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. For a family with four children, let X = number of children who are girls. Identify p for the binomial distribution.College students are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the numerical values of the random variable x are not associated with probabilities. C. No, the random variable x is categorical instead of numerical. D. No, the sum of all the probabilities is not equal to 1. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. μ= students (Round to one decimal place as needed.) OB.…Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. ** view image options: Probability Distribution Not a Probability Distribution