population of values has a normal distribution with μ=211 and σ=21.7. If a random sample of size n=13 is selected, Find the probability that a single randomly selected value is less than 208. Round your answer to four decimals. P(X < 208) = Find the probability that a sample of size n=13 is randomly selected with a mean less than 208. Round your answer to four decimals. P(M < 208)=

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A population of values has a normal distribution with μ=211 and σ=21.7. If a random sample of size n=13 is selected,

  1. Find the probability that a single randomly selected value is less than 208. Round your answer to four decimals. 
    P(X < 208) = 

  2. Find the probability that a sample of size n=13 is randomly selected with a mean less than 208. Round your answer to four decimals. 
    P(M < 208)=
Expert Solution
Step 1: Given information

The population of values has a normal distribution with a population mean  mu equals 211and population standard deviation sigma equals 21.7

X tilde N left parenthesis mu equals 211 comma sigma equals 21.7 right parenthesis

A random sample of size 13 is selected. Sample Size.n equals 13.

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