Find the expected value of the probability mass function below. P(X) 0.15 0.32 0.37 0.16 0.85 O 1 1.54 O 1.69
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- Consider the following probability mass function (pmf). Find the expected value of X. 30 p(x) 1 0.30 2 0.05 5 0.20 10 0.20 20 0.25Let X be the number of bathrooms in a randomly selected house for sale in Malibu, California. Suppose X has the following probability distribution, where p(x) is the probability mass function, and F(x) is the cumulative distribution function. x 1 2 3 4 5 6 p(x) .05 .20 .32 .27 .10 .06 F(x) .05 .25 .57 a .94 1 a. What is the value of a? b. Calculate the probability that X < 3. c. Calculate the expected value of X. d. Calculate the variance of X. e. Calculate the expected value of x0.37 <_>f. We randomly and independently select 3 different houses for sale in Malibu. What is the probability that each of the 3 selected houses has exactly 3 bathrooms? g. We randomly and independently select 3 different houses for sale in Malibu. What is the probability that exactly two of the selected houses have exactly 2 bathrooms ? h. Malibu has a water crisis. The town board will solve this crisis by charging a special…Given the random variable X with distribution. x P(X = x) 0 0.15 0.5 0.24 1 0.09 1.5 0.34 2.0 0.18 Calculate the following: P(0 < X ≤ 1.5) If pX (x) is the probability mass function for X, what is pX (1) If FX (x) is the cumulative probability distribution for X, what is FX (1.5)
- Given the probability distribution below.Find P(X = 1).Calculate the expected value E(X). X P(X) 0 0.25 1 02 0.32 3 0.28Find 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 0.37Can you answer D and E.
- 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) = %D х -3 13 17 P(X = x) 0.11 0.09 0.17 0.11 0.15 0.37Help PlsThe probability distribution of a discrete random variable x is given below. Value x of X P(X=x) -3 0.18 -2 0.20 -1 0.18 0.21 1 0.23 Let Fy be the cumulative distribution function of x. Compute the following. (a) F,(0) = ] ? (b) F, (1) - F,(-3) - O 14 (c) F
- What is the expectation for this probability distribution? X P(x) 0.23 0.41 0.19 0.17 1 2 3 4 OA) 1.0 OB) 2.3 C) 0.25 D) 0.575 4Let X be a random variable with the following probability distribution.Calculate the following Find the expectation E (X) of XE (X) =? Find the variance Var (X) of X.Var (X) =?Please show your solution. Thank you
