I know my answers wrong, cam you answer all of them 6. When a computer goes, the
ID: 3315334 • Letter: I
Question
I know my answers wrong, cam you answer all of them
6. When a computer goes, there is a 70% chance that it due to an overload and 20% chance that is due to a software problem. There is an 85% chance that it is due to an overload or a software problem. What is the probability that both of these problems are at fault? What is the probability that there is a software problem but no overload? .15 :-.IS or 1.7-.IS /.S5 7. Suppose that X is hypergeometric with N-20, r-17, n = 5, what are the possible values for X7 What is ELX] and Var X? :nin : (5017): 45 8. A discrete random variable X has moment generating function Find ELX] and ELX']Explanation / Answer
6) P(overload) = 0.7
P(software problem) = 0.2
P(overload or software problem) = 0.85
a) P(overload and software problem) = P(overload) + P(software problem) - P(overload or software problem)
= 0.7 + 0.2 - 0.85
= 0.05
b) P(software problem not overload) = P(software problem) - P(overload and software problem)
= 0.2 - 0.05
= 0.15
7) N = 20
r = 17
n = 5
a) Possible values of X = 2, 3, 4, 5
b) E(X) = n * r / N = 5 * 17 / 20 = 4.25
c) Var(X) = n * r * (N - r) * (N - n) / (N2 (N - 1))
= 5 * 17 * 3 * 15 / (202 * 19)
= 0.5033
8) n = 15
p = 0.3
a) E(X) = n * p = 15 * 0.3 = 4.5
b) Var(X) = n * p * (1 - p) = 15 * 0.3 * (1 - 0.3) = 3.15
E(X2) = Var(X) + (E(X))2 = 3.15 + 4.52 = 23.4