A set of nal examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8. Complete parts (a) through (d). <:> .a. What is the probability that a student scored below 88 on this exam? The probability that a student scored below 88 is 0.9699 . (Round to four decimal places as needed.) b. What is the probability that a student scored between 65 and 92? The probability that a student scored between 65 and 92 is D. (Round to four decimal places as needed.) A study indicates that 18- to 24- year olds spend a mean of 115 minutes watching video on their smartphones per month. Assume that the amount of time watching video on a smartphone per month is normally distributed and that the standard deviation is 15 minutes. Complete parts (a) through (d) below. <:> a. What is the probability that an 18- to 24-year-old spends less than 90 minutes watching video on his or her smartphone per month? The probability that an 18- to 24-year-old spends less than 90 minutes watching video on his or her smartphone per month is 0.0478 . (Round to four decimal places as needed.) b. What is the probability that an 18- to 24-year-old spends between 90 and 145 minutes watching video on his or her smartphone per month? The probability that an 18- to 24-year-old spends between 90 and 145 minutes watching video on his or her smartphone per month is El. (Round to four decimal places as needed.) Asurvey found that women's heights are normally distributed with mean 63.6 in. and standard deviation 3.8 in. The survey also found that men's heights are normally distributed with mean 68.3 in. and standard deviation 3.2 in. Consider an executive jet that seats six with a doonNay height of 56.2 in. Complete parts (a) through (c) below. E) a. What percentage of adult men can t through the door without bending? The percentage of men who can t without bending is |:|%. (Round to two decimal places as needed.) The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view age 1 of the table. Click to view p_age 2 of the table. <:> a. The probability that a pregnancy will last 308 days or longer is 0.0047 . (Round to four decimal places as needed.) b. Babies who are bom on or before D days are considered premature. (Round to the nearest integer as needed.) Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d). E> a. What is the probability that Z is less than 1.54? The probability thatZ is less than 1.54 is 0.9382 . (Round to four decimal places as needed.) b. What is the probability that Z is greater than 1.84? The probability that Z is greater than 1.84 is 0.0329 . (Round to four decimal places as needed.) c. What is the probability that Z is between 1.54 and 1.84? The probability that Z is between 1.54 and 1.84 is D. (Round to four decimal places as needed.)