# Question

The lifetimes of a certain electronic component are known to be normally distributed with a mean of 1,600 hours and a standard deviation of 400 hours.

a. For a random sample of 16 components, find the probability that the sample mean is more than 1,500 hours.

b. For a random sample of 16 components, the probability is 0.15 that the sample mean lifetime is more than how many hours?

c. For a random sample of 16 components, the probability is 0.10 that the sample standard deviation lifetime is more than how many hours?

a. For a random sample of 16 components, find the probability that the sample mean is more than 1,500 hours.

b. For a random sample of 16 components, the probability is 0.15 that the sample mean lifetime is more than how many hours?

c. For a random sample of 16 components, the probability is 0.10 that the sample standard deviation lifetime is more than how many hours?

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