4. A population of size 100, the random variable X in the population is normally distributed with a mean of 50 and a standard deviation of 16. Then from the population a random sample of size 30 is taken, determine the probability that the sample mean is: a. At most 51 b. Between 49 and 51 c. At least 48,5

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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Please Answer my question A,B, C 3 sub parts .... Because I know this team can answer max 3 sub parts... Please answer my question with the parts... Thank u god bless u

4. A population of size 100, the random variable X in the population
is normally distributed with a mean of 50 and a standard deviation
of 16. Then from the population a random sample of size 30 is
taken, determine the probability that the sample mean is:
a. At most 51
b. Between 49 and 51
c. At least 48.5
Transcribed Image Text:4. A population of size 100, the random variable X in the population is normally distributed with a mean of 50 and a standard deviation of 16. Then from the population a random sample of size 30 is taken, determine the probability that the sample mean is: a. At most 51 b. Between 49 and 51 c. At least 48.5
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