The discrete random variable X has the following probability mass function:

Question

Question

f(x) = kx, for the values of x = 2,4,5 and 6 only.

Find the

i. value of k.

ii. construct the probability distribution of X

iii. expected value and standard deviation X

Answer 1

Answer #1

i) for a valid probability mass function

ii) The probability distribution of X is

iii) The expected value of X is

the variance of X is

the standard deviation of X is

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Answer 2

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