A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimate u. (Round your answers to four decimal places.) (a) What is the probability that the sample mean will be within +5 of the population mean? (b) What is the probability that the sample mean will be within +10 of the population mean?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimate u. (Round your answers to four decimal
places.)
(a) What is the probability that the sample mean will be within +5 of the population mean?
(b) What is the probability that the sample mean will be within +10 of the population mean?
Transcribed Image Text:A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimate u. (Round your answers to four decimal places.) (a) What is the probability that the sample mean will be within +5 of the population mean? (b) What is the probability that the sample mean will be within +10 of the population mean?
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