Question 2 Not yet answered Marked out of 10.00 'F Flag question Time left 1:39:53 (NOTE: IN ORDER TO GET FULL MARKS, SHOW ALL CALCULATIONS AND STEPS. FAILURE TO DO SO WILL RESULT IN A SCORE OF "0".) The heights of North American women are normally distributed with a mean of 64 inches and a variance of 4 inches, and the heights of North American men are normally distributed with a mean of 69.5 inches and a variance of 4.84 inches. There were four women and ten men randomly selected. a. What is the probability that a randomly selected Woman is taller than 65 inches? b. A man boasted his height was in the top 0.5% of the population and he was 75 inches tall. Calculate the height necessary to be in the top 0.5%. c. What is the probability that all ten selected men were taller than 65.2 inches? d. The amount of time it takes men to reach full size is uniformly distributed between 24 and 28 years of age. What is the probability that a man will reach full size between 25 and 26 years