(1 point) The top-selling Red and Voss tire is rated 70000 miles, which means nothing. In fact, the distance the tires can run until wear-out is a normally distributed random variable with a mean of 81000 miles and a standard deviation of 7000 miles. A. What is the probability that the tire wears out before 70000 miles? Probability - B. What is the probability that a tire lasts more than 85000 miles? Probability = (1 point) Suppose that X is normally distributed with mean 115 and standard deviation 12. A. What is the probability that X is greater than 137.92? Probability = 1.91 B. What value of X does only the top 15% exceed? X 129.04 (2 points) Compute the following probabilities for the standard normal distribution Z. A. PO -1.7)= (1 point) A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 29 times, and the man is asked to predict the outcome in advance. He gets 26 out of 29 correct. What is the probability that he would have done at least this well if he had no ESP? Probability = (1 point) Two events A and B are said to be mutually exclusive if: A. P(A and B) = 1 B. P(AJB) = 1 C. P(A and B) = 0 D. P(B|4 = 1 Two events A and B are said to be independent if: A. P(AB) = P(B) B. P(A and B) = P(A) + P(B) C. P(B|A) = P(A) D. P(A and B) = P(A). P(B)