A discrete random variable X has the following probability mass function( 3kxP(X = x) = } k(x² + 0.5)x = 1,3,5x = 7otherwisewhere k is a constanta. Show that k = 2b. Find the exact value of P(3 < x < 7)c. Find the exact value of P(3 < x < 5)d. What is the expected value of the random variable X?e. What is the variance of the random variable X?f. Determine Var (-;x+5)1533

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Answered: A discrete random variable X has the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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X denotes a binomial random variable with parameters n and p. For each exercise, indicate which area under the appropriate normal curve would be determined to approximate the specified binomial probability. P(X ≤ 4)
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A discrete random variable X has the following probability mass function x = 1,3,5 x = 7 3kx P(X = x) = } k(x² + 0.5) otherwise where k is a constant 2 a. Show that k =- b. Find the exact value of P(3 < x <7) c. Find the exact value of P(3