# Probability

1. A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully.

2. How many riders would there have to be on a bus to yield (a) a 50 percent probability that at least two will have the same birthday? (b) A 75 percent probability?

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#### Solution Preview

1. A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully.

P(An alternator will fail) = 0.02 P(An alternator will not fail) = 1 - 0.02 = 0.98

(a) ...

#### Solution Summary

Complete, Neat and Step-by-step Solutions are provided in the attached file.