Question 9:(4 Points) Consider the following random sample X1, X2....,.Xs which follows N(5,16). Answer the following:...

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Question 9:(4 Points) Consider the following random sample X1, X2....,.Xs which follows N(5,16). Answer the following: 1. Find P(2.16 < x < 11.36). 2. Find Var(1-x). 3. Find Xas: the 85th percentile of X. That is, P(X < Xaas) = 85%. 4. What is the Sampling distribution of X. 5. Based on your findings in part 4, calculate P(X > 6.39). Question 9:(4 Points) Consider the following random sample X1, X2....,.Xs which follows N(5,16). Answer the following: 1. Find P(2.16 < x < 11.36). 2. Find Var(1-x). 3. Find Xas: the 85th percentile of X. That is, P(X < Xaas) = 85%. 4. What is the Sampling distribution of X. 5. Based on your findings in part 4, calculate P(X > 6.39).