Question: Given a normal distribution with =51 and =8, and given you select a sample of n=100, complete parts(a) through(d). a. What is the probability that

Given a normal distribution with =51 and =8, and given you select a sample of n=100, complete parts(a) through(d).

a. What is the probability that X is less than 49?

(integer or decimal rounded to four decimal places asneeded.)

b. What is the probability that X is between 49 and 49.5?

(integer or decimal rounded to four decimal places asneeded.)

c. What is the probability that X is above 51.6?

(integer or decimal rounded to four decimal places asneeded.)

d. There is a 30% chance that X is above whatvalue?

(integer or decimal rounded to four decimal places asneeded.)

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