Suppose X m N(5, 0.1182). Use this distribution to help you answer the following question: What is PUT? g 5.009) + P :_> 4.991)? Where relevant, round your answer to three decimal places. Hint: To help you answer this question, you may wish to draw a picture of the distribution and the probability you need to nd. To see some examples. see the section called "Using the distribution of f to answer questions". Answer: Suppose X ~ N(52, 1.959). Use this distribution to help you answer the following question: What is P(X 2 53.292)? Where relevant, round your answer to three decimal places. Hint: To help you answer this question, you may wish to draw a picture of the distribution and the probability you need to find. To see some examples, see the section called "Using the distribution of X to answer questions". Answer:Suppose X ~ N(43, 1.6494). Use this distribution to help you answer the following question: What is P(42.83 5 4 The distribution of X will have a variance of o V50Suppose X is normally distributed with a mean of A = 10 and a variance of o' = 9 Further suppose that a random sample of n = 50 has been taken from this population. Which of the following statements is/are true about the distribution of the associated sample mean, X? Select one or more: a. The distribution of X will have a standard deviation of o = 9 50 O b. The distribution of X will have a mean of u > 10 9 UC. The distribution of X will have a standard deviation of o = V50 . The distribution of X will have a variance of o' = O e. The distribution of X will have a mean of A