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Suppose that X ∼ N(−16.5,23) and that Z follows the standard normal distribution. a) Compute the...

Suppose that X ∼ N(−16.5,23) and that Z follows the standard normal distribution.

a) Compute the value of z such that P(X>−25.55)=P(Z>z).

b) Hence, compute P(X > −25.55)

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Now, suppose that P(X≤x)=0.29.

c) Compute the value of z such that P(Z < z) = 0.29.

d) Hence, compute the value of x such that P(X ≤ x) = 0.29

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