CUNY Hunter College Finding the Probability Questionnaire

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CUNY Hunter College Finding the Probability Questionnaire

CUNY Hunter College, Mathematics

CUNY Hunter College Finding the Probability Questionnaire

Question Description

I’m working on a statistics question and need support to help me learn.

A population of values has a normal distribution with $μ = 157.7$ and $σ = 74.4$ . You intend to draw a random sample of size $n = 238$ .

Find the probability that a single randomly selected value is between 156.3 and 163.5.
P(156.3 < X < 163.5) =

Find the probability that a sample of size $n = 238$ is randomly selected with a mean between 156.3 and 163.5.
P(156.3 < M < 163.5) =

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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