X is a normally distributed random variable with mean 10

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

Find P(X > 14).

Find P(8 < X < 20).

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

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

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