What are the expected value standard deviation and shape of, Financial Management

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What are the expected value standard deviation and shape of

Sampling Distribution

The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken. Please answer the following questions:

a. What are the expected value, standard deviation, and shape of the sampling distribution of ?

b. What is the probability that the average life in the sample will be between 2,884 and 3,116 hours?

c. What is the probability that the average life in the sample will be between 2,768 and 3,232 hours?

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