. Question 7 Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 257 feet and a standard deviation of 39 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X ~ N( b. Find the probability that a randomly hit fly ball travels less than 210 feet. Round to 4 decimal places. C. Find the 70th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feetX Question 16 Score on last try: 0 of 2 pts. See Details for more. > Next question Get a similar question You can retry this question below Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 7.1-in and a standard deviation of 1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 0.7% or largest 0.7%. What is the minimum head diameter that will fit the clientele? min = 5.6 X What is the maximum head diameter that will fit the clientele? max = 8.6 XQuestion 5 Score on last try: 1 of 4 pts. See Details for more. > Next question Get a similar question You can retry this question below The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 53 ounces and a standard deviation of 4 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between 12 x and 65 6) What percentage of the widget weights lie between 45 and 65 ounces? 0.9759 X c) What percentage of the widget weights lie below 57 ? |0.8413 X 34% 34% 2.35% 13.5% 13.5% 2.35% 0.15%% *0.15% -1