Question

4n assembly consists of three mechanical components. Suppose that the probabilities that the first, second, and...

4n assembly consists of three mechanical components. Suppose that the probabilities that the first, second, and third components meet specifications are 040, 0.45 and 0.8 respectively. Assume that the components are independent. Let random variable X be the number of components that meet specifications;

Determine the mean, variance and the standard deviation of X.

Math   Statistics-And-Probability   
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Answer #1

Let random variable X be the number of components that meet specifications.

P(X=0) = P(none of the three meets specifications)

P(X=1) = P(one of the three meets specifications)

P(X=2) = P(two of the three meets specifications)

P(X=3) = P(all of the three meets specifications)

So,

Thus,

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