Question: Calculate the followings.

1. Find a \({{z}_{0}}\) such that \(\Pr \left( -{{z}_{0}}
2. Find a \({{z}_{0}}\) such that \(\Pr \left( -{{z}_{0}}
3. A normal random variable x has mean \(\mu =\) 10 and standard deviation \(\sigma =\) 2. Find the probabilities of these x values.

1. (2 points) x > 13.5
2. (2 points) x < 8.2
3. (2 points) 9.4 < x < 10.6

(D) A normal random variable x has an unknown mean \(\mu \) and standard deviation \(\sigma =\) 2 .

If the probability that x exceeds 7.5 is 0.8023, find \(\mu \).

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