Approximately 5% of the Bolts Coming Off a Production Line

Approximately 5% of the bolts coming off a production line have serious defects. Two bolts are randomly selected for inspection. Find the probability distribution for x, the number of defective bolts in the sample.
a. P(x = 0) = P(both bolts are not defective)
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b. P(x = 1) = P(one bolt is defective)
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c. P(x = 2) = P(both bolts are defective)
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d. Find E(x).
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e. Find
.
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