A random variable Y is given with its probability distribution. Find the value of 100q. 0 1 3 0.35 q 3q Y P(Y) 2 0.25 4 q
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- Solve the problem.Suppose x is a random variable best described by a uniform probability distribution with c = 70 and d = 100. Find the value of a if P(x > a) = 0.9. Select one: A. 100 B. 80 C. 97 D. 73The probability distribution of random variable X is given as follow: 2 3 4 5 f (x) 0.41 0.37 0.16 0.05 0.01 0.00 Find the mean of X? E(X) = ?The random variable X has the following probability distribution: X 1 3 P(x) 0.05 0.25 0.35 k The value ofk is 0.25 True O False OO
- Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. 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. X 0 1 2 3 4 5 child(ren) (Round to one decimal place as needed.) P(x) 0.027 0.152 0.321 0.321 0.152 0.027 A. Yes, the table shows a probability distribution. B. No, the random variable x is categorical instead of numerical. C. No, not every probability is between 0 and 1 inclusive. D. No, the sum of all the probabilities is not equal to 1. E. No, the random variable x's number values are not associated with probabilities. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the…Let X be a random variable that can take the values 5, 9, or 13. And let f(x) be its probability distribution. Find the variance of the random variable X, given that its probability distribution is f(5) = 0.1 f(9) = 0.4 f(13) = 0.5 Round your answer to an integer.Let X denote the random variable given by the number of boys in a family of five children. Find the probability distribution if a girl is as likely as a boy. (Round your answers to four decimal places.) Random variable, x 0 1 2 3 4 5 6 P(X = x)
- Find the probability. Suppose x is a random variable best described by a uniform probability distribution with c= 10 and d=50. Find P(x>50). C= 0.4 0.5 1 OThe random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Find the mean of the probability distribution. Houses Sold (x) Probability P(x) 0 0.24 1 0.01 2 0.12 3 0.16 4 0.01 5 0.14 6 0.11 7 0.21 μμ = 3.50 μμ = 3.35 μμ = 3.60 μμ = 3.40The random variable X has probability distribution given in the table below:X -1 0 1 2 3P(X=x) b 0.1 0.2 0.15 0.15a. Find the value of b.b. Find the Var (X)c. E (2X-4)d. Var (3-2X)
- The value of E(X) for the dizerete random variable Xhaving tihe following probability distribution: o02 04 03 jo1g is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in. x 0 1 2 3 4 Px 0.06 0.13 0.45 0.23 0.13 Find the probability that a student participates in more than two activities.Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. 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. child(ren) (Round to one decimal place as needed.) X 0 1 2 3 4 5 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, the random variable x is categorical instead of numerical. D. No, not every probability is between 0 and 1 inclusive. E. No, the sum of all the probabilities is not equal to 1. 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. P(x)…
