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The lifetimes of a certain brand of light bulbs are known to be normally distributed with a mean of 1,600 hours and a standard deviation

The lifetimes of a certain brand of light bulbs are known to be normally distributed with a

mean of 1,600 hours and a standard deviation of 400 hours. A random sample of 95 of

these light bulbs is taken.

a. What is the probability that the sample mean lifetime is more than 1,550 hours?

b. The probability is 0.15 that the sample mean lifetime is more than how many

hours?

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