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In: Statistics and Probability

Let the random variable X follow a normal distribution with ?= 60 and sigma ?2= 81....

Let the random variable X follow a normal distribution with ?= 60 and sigma ?2= 81.

a. Find the probability that X is greater than 70.

b. Find the probability that X is greater than 45 and less than 71.

c. Find the probability that X is less than 65.

d. The probability is 0.2 that X is greater than what? number?

e. The probability is 0.03 that X is in the symmetric interval about the mean between which two? numbers?

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