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The average age of a LED bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs was

The average age of a LED bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs was taken.

a) What is the expected value, deviation, and shape of the sampling distribution of x?

b) what is the probability that the average life in the sample will be between 2,670.56 and 28,09.76 hours?

c) what is the probability that the average life in the sample will be greater than 3, 219.24 hours?

d) what is the probability that the average life in the sample will be less than 3180.96?

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