X is a normally distributed random variable with mean 10


X is a normally distributed random variable with mean 10 and variance 24.

a. Find P(X > 14).

b. Find P(8 < X < 20).

c. Find the probability that X takes on a value that is at least 6 away from its mean.

d. Suppose that X* is defined such that P(X > X*) = .10. What is X*?

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