Suppose X ~ N(-86, 1.954'). Use this distribution to help you answer the following question: What is P(X -85.931)? 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(17, 0.145). Use this distribution to help you answer the following question: What is P(X 2 16.884)? 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(49, 1.345 ). Use this distribution to help you answer the following question: What is P(48.291 5 . The distribution of X will have a standard deviation of o = 4 50 9. The distribution of X will have a standard deviation of o = 2 V50 Oh. The distribution of X will have a variance of 02 = 50 1. The variability of the distribution of X will be lower than the variability of the distribution of XSuppose X is normally distributed with a mean of A = 10 and a variance of o2 = 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: 0 a. The distribution of X will have a variance of o? > 9 O b. The distribution of X will have a mean of u = 10 3 C. The distribution of X will have a standard deviation of o = V50 O d. 9 The distribution of X will have a standard deviation of o = V50 O e. The distribution of X will have a variance of o