Signal Stat

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23. A guided missile has five separate sections through which the signal must pass if the missile works correctly. Each individual has two sections of track through which the signal can pass at least one of them should work if the signal is crossing this section. The probability that a single circuit is 0.1. (A). Calculate the probability that the signal passes through any section. (B), calculate the probability that the signal passes through all sectors, thus enabling the device to function.
This problem uses the binomial distribution twice. Let X be the number of circuits in a section of this work. X has the binomial distribution with n = 2 trials and success probability p = 0.9 In general, if X has the binomial distribution with n trials and success probability of P then P [X = x] = n! / (X! (NX)!) * P ^ x * (1-p) ^ (nx) for values x = 0, 1, 2, …, n P [X = x] = 0 for all values of x. The mass function of probability is obtained by examining the number of the combination of items to choose x n objects and a total success and xn – x failures. Or in other words, the binomial is the sum of n independent trials and identically distributed Bernoulli. X ~ Binomial (n = 2, p = 0.9) the average of the binomial distribution is n * p = 1.8, unlike the binomial distribution is n * p * (1 – p) = 0.18 for difference type is the square root of the variance = √ (n * p * (1 – p)) = 0.4242641 the law of probability, PMF, f (x) = P (X = x) P (X = 0) = 0.01 P (X = 1) = 0.18 P (X = 2) = 0.81 P (section works) = P (X> 0) = P (X = 1) + P (X = 2) = 0, 99 and let the number sections. Labor Y ~ Binomial (n = 5, p = 0.99), the mean of the binomial distribution is n * p = 4.95 the variance of the binomial distribution is n * p * (1 -) p = 0.0495 standard deviation is the square root of the variance = √ (n * p * (1 – p)) = 0.2224860 the law of probability, PMF, f (Y) = P (Y = y) P (Y = 0) = 1e -10 P (Y = 1) = 4.95e-08 P (Y = 2) = 9.801e-06 P (Y = 3) = 0.000970299 P (Y = 4) = 0.0480298 P (Y = 5) = 0.95099 < <<<<< ALL SECTIONS OF WORK
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