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Question: 5 the life of a type of electric light bulb...

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5. The life of a type of electric light bulb can be modeled by an exponential distribution with 0.001 (a) What is the average life of this type of light bulb? And determine the probability that a randomly picked light bulb has a life shorter than the average life. (2pt)

(b) Determine the probability that a light bulb fails within 1200 hours. (2pt) (c) If 4 bulbs are installed at the same time and work independently in a house, what is the probability the homeowner needs to replace more than half of those after 1200 hours. Hint: Binomial random variable analysis] (2pt)

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