A Below, I? is the sample size,p is the population proportion and p is the sample proportion. Use the Central Limit Theorem and the TI84 calculator to find the probability. Round the answer to at least four decimal places. 112111 p 20.54 .(;.O_.0):-t x 3' A sample of size 19 will be drawn from a population with mean 107 and standard deviation 39. (a) Is it appropriate to use the normal distribution to find probabilities for x? (b) If appropriate find the probability that x will be less than 89. (c) If appropriate find the 95 percentile of X. O It is appropriate to use the normal distribution to find probabilities for x. X 5 The probability that x will be less than 89 is The 95 percentile of x is O It is not appropriate to use the normal distribution to find probabilities for x.Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 203, with a standard deviation of 42 (the units are milligrams per deciliter). A simple random sample of 109 adults is chosen. Use the TI-84 calculator. Round the answers to four decimal places. What is the probability that the sample mean cholesterol level is greater than 213? The probability that the sample mean cholesterol level is greater than 213 is E]. [j What is the probability that the sample mean cholesterol level is between 191 and 201? The probability that the sample mean cholesterol level is between 191 and 201 is E]. @8 E I Part 3 of 3 Would it be unusual for the sample mean to be less than 191? It (Choose one) v be unusual for the sample mean to be less than 191, since the probability is X