The probability that a certain kind of component will survive a given shock test is `3/4` . Find the probability that among 5 components tested (i) Exactly 2 will survive (ii) At most 3 will survive

Explanation

Let `X` denote the number of components that survive shock.

Then, `X` follows a binomial distribution with `{n}=5.`

Let `p` be the probability that a certain kind of component will survive a given shock test.


`therefore p=frac{3}{4} text { and } q=frac{1}{4}`


Hence, the disrtibution is given by


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