The standard deviation of the lifespan of a certain brand of LED light bulbs Is 20 months. The quality control department at this company takes a random sample of 70 LED light bulbs and finds the mean tifespan of sample is 147 months. What is the probability that this sample mean is within 3 months of the mean of all light bulbs produced by the company? Round the solution to four decimal places, if necessary. P(z within 3 months of u) %3D Question Help: O Video Submit Question

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The standard deviation of the lifespan of a certain brand of LED light bulbs is 20 months. The quality
control department at this company takes a random sample of 70 LED light bulbs and finds the mean
tifespan of sample is 147 months. What is the probability that this sample mean is within 3 months of the
mean of all light bulbs produced by the company? Round the solution to four decimal places, if necessary.
P(z within 3 months of u)
%3D
Question Help: O Video
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Transcribed Image Text:The standard deviation of the lifespan of a certain brand of LED light bulbs is 20 months. The quality control department at this company takes a random sample of 70 LED light bulbs and finds the mean tifespan of sample is 147 months. What is the probability that this sample mean is within 3 months of the mean of all light bulbs produced by the company? Round the solution to four decimal places, if necessary. P(z within 3 months of u) %3D Question Help: O Video Submit Question
According to recent research, 51% of Americans have less than $400 in the bank for an emergency. Let p be
the proportion of people who have less than $400 in the bank for an emergency in a random sample of 100
Americans.
Determine the probability that the proportion of people in a random sample of 100 Americans who have
less than $400 in the bank for an emergency is within 9% of the population proportion. Round the solution
to four decimal places.
P(p within 9% of the population proportion)
%3D
Determine the probability that the proportion of people in a random sample of 100 Americans who have
less than $400 in the bank for an emergency is less than the population proportion by 6% or more. Round
the solution to four decimal places.
P(p less than the population proportion by 6% or more)
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Transcribed Image Text:According to recent research, 51% of Americans have less than $400 in the bank for an emergency. Let p be the proportion of people who have less than $400 in the bank for an emergency in a random sample of 100 Americans. Determine the probability that the proportion of people in a random sample of 100 Americans who have less than $400 in the bank for an emergency is within 9% of the population proportion. Round the solution to four decimal places. P(p within 9% of the population proportion) %3D Determine the probability that the proportion of people in a random sample of 100 Americans who have less than $400 in the bank for an emergency is less than the population proportion by 6% or more. Round the solution to four decimal places. P(p less than the population proportion by 6% or more) Question Help: OVideo 1 D Video 2 Submit All Parts
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