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Mathematics, 29.04.2021 15:40 apowers1760

A discrete random variable X has the following probability mass function P(X = x) = {

2kx x = 2, 4, 6
k(x + 2) x = 8
0 otherwise

where k is a constant
a. Show that k =
1
34

b. Find the exact value of P(4 < x ≤ 8)
c. Find the exact value of P(2 < x < 4)
d. What is the expected value of the random variable X?
e. What is the variance of the random variable X?
f. Determine Var(5 − 3X)

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A discrete random variable X has the following probability mass function P(X = x) = {

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