6. Use the following fact about the standard normal cumulative distribution function (): 1(0.025) = 1.96. (a)

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6. Use the following fact about the standard normal cumulative distribution function Φ(·):

Φ−1(0.025) = −1.96.

(a) What value is Φ−1(0.975)? Why?

(b) What is the 0.975-quantile of the normal distribution with mean -1 and variance 2?

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