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 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? 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 Estimate the variance of the 10 sampled values. Is there a difference between the variances calculated in (a) and (b)? If so, why? A If a Poisson distributed RV, x is such that its probability at (x = 0) is equal to the probability at: (x = 1) plus 3 times probability at (x = 2). Find the mean of x. In a statistically large number of enumerated wireless connectivity, x depicts the statistics of call failures with an expected mean, mu_0 = 50. Assume that x shows a strong central tendency towards its mean value; and, the corresponding standard deviation, sigma_0 = 14. Suppose, the calls are randomly monitored and the sampled observation shows 49 call failures. Mostly x_ L = 30 such failures are on the lower side and x_U = 70 failures on the upper side of the sampled mean value. Construct the normalized distribution of Z, p (Z) versus Z showing Z_sL; and Z_sU

Explanation / Answer

5 - A)

p(1) = 0.6

p(0) = 0.4

If there are total 12 computers deployed in the mission, probability that 10 computers will function properly is

P(x=10) = 12C10 * p(1)^10 * p(0)^2

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

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