Question # 5 (A) In using a mission-critical computer operation, the probability
ID: 3209503 • Letter: Q
Question
Question # 5
(A) In using a mission-critical computer operation, the probability of the state: “No software failure” is denoted as p(1); and, the probability of corresponding failure state is indicated as p(0). Suppose p(1) = 0.6. What is the chance of 10 computers will successfully function, if 12 computers are deployed in the mission?
(B) A uniformly distributed RV, x is specified within the range, 0 to 100. It is sampled 10 times at equal intervals yielding 10 discrete samples.
Find the variance of the continuous random variable, x
(a)Estimate the variance of the 10 sampled values.
(b)Is there a difference between the variances calculated in (a) and (b)? If so, why?
Explanation / Answer
A) P(1 computer function) = 0.6
P(10 out of 12 computers functioning)= 12C10 x 0.610x0.42
= 0.064