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# Traffic engineers install 10 streetlights with new bulbs. The probability that a bulb fails… 1 answer below »

Traffic engineers install 10 streetlights with new bulbs. The probability that a bulb fails within 50,000 hours of operation is 0.25. Assume that each of the bulbs fails independently.

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Traffic engineers install 10 streetlights with new bulbs. The probability that a bulb fails…
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(a) What is the probability that fewer than two of the original bulbs fail within 50,000 hours of operation?

(b) What is the probability that no bulbs will have to be replaced within 50,000 hours of operation?

(c) What is the probability that more than four of the original bulbs will need replacing within 50,000 hours?