Question

Let the random variable X follow a normal distribution with μ = 60 and σ^2=64. a....

Let the random variable X follow a normal distribution with μ = 60 and σ^2=64.

a.

Find the probability that X is greater than 70.

b.

Find the probability that X is greater than 45 and less than 74.

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 0.05 that X is in the symmetric interval about the mean between which two​ numbers?

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