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).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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).
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).
Transcribed Image Text:Listen 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). 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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