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In: Statistics and Probability

let the random variable x follow a normal distribution with μ = 50 and σ2 =...

let the random variable x follow a normal distribution with μ = 50 and σ2 = 64.

a. find the probability that x is greater than 60.

b. find the probability that x is greater than 35 and less than 62

. c. find the probability that x is less than 55.

d. the probability is 0.2 that x is greater than what number?

e. the probability is 0.05 that x is in the symmetric interval about the mean between which two numbers?

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