Given a normal distribution with u= 100 and o = 4, and given you select a sample of n = 4, complete parts (a) through (d). %3! ... a. What is the probability that X is less than 94? P(X<94) =| (Type an integer or decimal rounded to four decimal places as needed)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Given a normal distribution with u= 100 and o= 4 , and given you select a sample of n = 4, complete parts (a) through (d).
a. What is the probability that X is less than 94?
P(X < 94) =|
(Type an integer or decimal rounded to four decimal places as needed.)
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Transcribed Image Text:Given a normal distribution with u= 100 and o= 4 , and given you select a sample of n = 4, complete parts (a) through (d). a. What is the probability that X is less than 94? P(X < 94) =| (Type an integer or decimal rounded to four decimal places as needed.) View an example Get more help - Help me solve this 出 7 4+ 144
Expert Solution
Step 1

Let X be the random variable from normal distribution with mean (μ) = 100 , standard deviation (σ) = 4 and sample size (n) = 4

Then, 

We will find P(x̄<94) = ? 

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