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Given the Z is the standard normal random variable

by | Nov 30, 2023 | Posted Questions

Probabilities and Standard Normal Random Variable

1. Given the Z is the standard normal random variable,
compute the following probabilities.

a) p(z=2)

b) p(z<=1.5)

c) P(z>1.8)

2. A video rental store checks out an average of 320 movies
per day, with a standard deviation of 75 movies. considering a sample of 30
days of operation.

a) what is the probability that the sample mean for the 30
days will be between 300 and 330 movies?

b) what is the probability that the sample mean will show
340 movies or more?

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