In using a mission-critical computer operation, the probability of the state: \"

Question

In using a mission-critical computer operation, the probability of the state: "No software failure" is denoted as r 1); and, the probability of corresponding failure state is indicated as p(0). Suppose = 0.6. What is the chance of 10 computers will successfully function, if 12 computers 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

5 (A)

This is binomial distribution problem,

here p = 0.6 and (1-p)=0.4

In the critical mission, 10 computers should fuction successfully

P(x=10) = 12C10 * p^10 * (1-p)^2

P(x=2) = 66*0.6^10*0.4^2 = 0.0639

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