Find the expected value E(X) of a random variable X having the following probability distribution. (Enter your answer to two decimal places.) E(X) = -2 х -6 10 14 Р(X %3D х) 0.13 0.09 0.14 0.11 0.16 0.37
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- The number of ships to arrive at a harbor on any given day is a random variable represented by x. The probability distribution of x is as follows. (Give your answers correct to two decimal places.) + P(x) (a) Find the mean of the number of ships that arrive at a harbor on a given day. X 10 0.31 11 12 13 0.15 0.1 0.12 14 0.32 (b) Find the standard deviation, o, of the number of ships that arrive at a harbor on a given day.The 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)
- 0.035 0.063 0.182 0.430P(x) 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. 0.025 1 0.164 0.311 3 0.311 0.164 0.025 4 Does the table show a probability distribution? Select all that apply. OA. 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's number values are not associated with probabilities. D. No, the random variable x is categorical instead of numerical. 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= child(ren)…x P(x) 0 0.12 1 0.08 2 0.08 3 0.08 4 0.14 5 0.1 6 0.14 7 0.26 Find the variance of this probability distribution.Give your answer to at least 2 decimal places
- variable with the following probability distribution. Value x of X P=Xx -20 0.10 -10 0.15 0 0.45 10 0.25 20 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation EX of X . ? =EX (b) Find the variance Var X of X .? =VarXFive 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. P(x) O 0.035 0.153 0.312 0.312 4 0.153 5 0.035 2 Does the table show probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, not every probability is between 0 and 1 inclusive. O C. No, the random variable x is categorical instead of numerical. O D. No, the sum of all the probabilities is not equal to 1. O E. No, the random variable x's number values are not associated with probabilities.A random variable X has the following probability distribution. Solve for the value of k and final answer in two decimal.
- Complete the values of P (X = x) to give a legitimate probability distribution for the discrete random variable, whose possible values are -1, 2, 4, 5, and 6.Find the mean of the given probability distribution. The random variable x is the number of houses sold by a realtor in a single month Houses Sold (x) Probability P(x) at the Sendsom's Real Estate office. 0.24 1 0.01 2 0.12 3 0.16 4 0.01 5 0.14 0.11 7 0.21 Ο Α. μ-3.35 Ο Β. μ-3.60 O C. μΕ 3.40 O D. µ= 3.50Three fair dice are rolled. Let the random variable X be the number of die that are showing a roll of 1. Complete the probability distribution table. X P(X=X 0 1 2 3 Find the mean of this probability distribution E(X)=