1. The numbers 81.1, 84.7, 77.8, 76.4 represent the temperature measured at a certain location and at a certain time. This is regarded as a random sample from a distribution with mean m and variance o². a) Find an unbiased estimate for m. b) Find an unbiased estimate for o? if it is known that m = 79.0. c) Find an unbiased estimate for o² if m is unknown.

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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1. The numbers
81.1,
84.7,
77.8,
76.4
represent the temperature measured at a certain location and at a certain time. This is regarded as a random
sample from a distribution with mean m and variance o².
a) Find an unbiased estimate for m.
b) Find an unbiased estimate for o² if it is known that m = 79.0.
c) Find an unbiased estimate for o² if m is unknown.
Transcribed Image Text:1. The numbers 81.1, 84.7, 77.8, 76.4 represent the temperature measured at a certain location and at a certain time. This is regarded as a random sample from a distribution with mean m and variance o². a) Find an unbiased estimate for m. b) Find an unbiased estimate for o² if it is known that m = 79.0. c) Find an unbiased estimate for o² if m is unknown.
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