Asurvey found thal women's heighls are normally dislnbuted wilh mean 62 1 In and standard deViation 2,2 In The survey also found lhat men's heights are normally distributed With mean 67 7 in, and standard deviation 3 6 in, Consider an executive jet that seats six With a doorway height of 56 t in Complete parts (a) through (c) below a. What percentage of adult men can t through the door without bending? The percentage of men who can t Without bending is D% (Round to two decimal places as needed) The annual per capita consumption of bottled water was 309 gallons, Assume that the per capita consumption of bottled water is apmeImately normally distributed with a mean of 30 9 and a standard deviation ot13 gallons a. What is the probability that someone consumed more than 31 gallons of bottled water? b. What is the probability that someone consumed between 20 and 30 gallons of bottled water';I c. What is the probability that someone consumed less than 20 gallons of bottled water? :1. 97.5% of people consumed less than how many gallons of bottled water?J a. The probability that someone consumed more than 31 gallons of bottled water is (Round to four deCimal places as needed ) A trucking Company determined that the distance traveled per truck per year is normally distributed, with a mean of 50 thousand miles and a standard deviation of 10 thousand miles. Complete parts (a) through (6) below a. What proportion oflrucks can be expected to travel between 3? and 50 thousand miles in a year? The proportion of trucks that can be expected to travel between 37 and 50 thousand miles in a year is (Round to four deCImal places as needed )l Aset ofnal examination grades in an introductory statistics course is normally distributed, with a mean of Y5 and a standard deviation of 9. Complete parts (a)through (d). .a. What is the probability' that a student scored below 8? on this exam? The probability that a student scored below 8? is (Round to four decimal places as needed )