Of the bolts manufactured for a certain application, 90% meet the length specification and can be used immediately, 6% are too long and can be used after being cut, and 4% are too short and must be scrapped.
a. Find the probability that a randomly selected bolt can be used (either immediately or after being cut).
b. Find the probability that fewer than 9 out of a sample of 10 bolts can be used (either immediately or after being cut).
(a) P(can be uses) = P(meets spec) + P(long) = 0.90 + 0.06 = 0.96.
(b) Let be the number of bolts out of 10 that can be used. Then Bin(10,0.96).
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