An office has four copying machines, and the random variable X measures how many of them
are in use at a particular moment in time. Suppose that P (X = 0) = 0:08, P (X = 1) = 0:11,
P (X = 2) = 0:27, and P (X = 3) = 0:33.

What is P (X=4)?
Find F(3)
Find E(X)
Calculate Var(X)

Question

An office has four copying machines, and the random variable X measures how many of them
are in use at a particular moment in time. Suppose that P (X = 0) = 0:08, P (X = 1) = 0:11,
P (X = 2) = 0:27, and P (X = 3) = 0:33.

What is P (X=4)?
Find F(3)
Find E(X)
Calculate Var(X)

anonymous · Answer

P (X=4) = 1-(P(x=0)+P(x=1)+P(x=2)+P(x=3))
                1-(.08+.11+.27+.33)
P (X=4) = .21