An electrical firm manufactures light bulbs that have a length life with mean equal to 800 hours, and a standard deviation of 40 hours. (a) What is the distribution of the average life of a random sample of 100 light bulbs? Give the name of the distribution and its parameters. (b) Is it possible to determine the distribution of this average if the random sample has only 15 light bulbs? Briefly explain your answer.

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