Question

Given a normal distribution with μ=100 and σ=8​, and given you select a sample of n equals=16​, complete parts​ (a) through​ (d).

a. What is the probability that X is less than 95​?

​P(X<95​)

​(Type an integer or decimal rounded to four decimal places as​ needed.)

b. What is the probability that X is between 95 and 97.5?

​P(95<X<97.5)

​(Type an integer or decimal rounded to four decimal places as​ needed.)

c. What is the probability that X is above 100.2?

​P(X>100.2​)

​(Type an integer or decimal rounded to four decimal places as​ needed.)

d. There is a 62​% chance that X is above what value?

X=

​(Type an integer or decimal rounded to two decimal places as​ needed.)

Enter your answer in each of the answer boxes.

Answer 1

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