A random sample of 100 people is chosen from a large population with an average weight of 60 kilos and standard deviation of 10 kilos. What is the probability that the mean weight of the sample is at least 65 kilos considering the given population follows a normal distribution? Show your complete solution. Given: μ= n = %3D Solution: 1. Z= H 2. What is probability that the mean weight of the sample is at least 65 kilos?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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C. A random sample of 100 people is chosen from a large population with an average
weight of 60 kilos and standard deviation of 10 kilos. What is the probability that
the mean weight of the sample is at least 65 kilos considering the given population
follows a normal distribution? Show your complete solution.
Given:
=
n =
Solution:
1. Z= "=
2. What is probability that the mean weight of the sample is at least 65 kilos?
Transcribed Image Text:C. A random sample of 100 people is chosen from a large population with an average weight of 60 kilos and standard deviation of 10 kilos. What is the probability that the mean weight of the sample is at least 65 kilos considering the given population follows a normal distribution? Show your complete solution. Given: = n = Solution: 1. Z= "= 2. What is probability that the mean weight of the sample is at least 65 kilos?
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