1. An electrical firm manufacturers light bulbs that have a length of life that is approximately Normally distributed, with a mean equal to 800 hours and a standard deviation of 40 hours. Let Y represent a random variable describing the length of life of a light bulb: Y = length of life of a light bulb; E(Y) = 800 hours; SD(Y) = 40 hours; Y~N(800 hours, 40 hours). %3D %3D Suppose a random sample of 16 light bulbs is selected. a. Find the expected value of the sample mean of 16 light bulbs. Express your answer as a whole number (e.g. 45). b. Find the standard deviation of the sample mean of 16 light bulbs. Express your answer as a whole number (e.g. 45). C. Find the probability that a random sample of 16 light bulbs will have an average life of less than 775 hours. Round your answer to three significant digits with a leading zero (e.g. 0.123).

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