Question: Let \(Q\) be a normally distributed random variable with a mean of 100 and variance equal to 100 . Let \(Z\) be a standard normal distributed random variable with a mean of 0 and variance equal to 1 .

1. (5pts) Find \(P(|Q-100|>12)\).
2. (5pts) If the covariance between \(Q\) and \(Z\) is \(-4\), what is \(E[Q \mid Z]\) ?

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