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In: Statistics and Probability

The bolts manufactured for a certain application, 85% meet the length specification and can be used...

The bolts manufactured for a certain application, 85% meet the length specification and can be used immediately, 11% are too long and can be used after being cut, and 4% are too short and must be scrapped.

a. Determine the probability that a randomly selected bolt can be used.

b. Determine the probability that all ten selected bolts can be used.

c. Determine the probability that fewer than 9 out of a sample of 10 bolts can be used.

Please answer all question above. need proper solution with step by step.

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