How much do you study? A survey among freshmen at a certain university revealed that the number of hours spent studying the week before was normally distributed with mean 30 and standard deviation 4. Use the TI-84 PLUS calculator to answer the following. Round the answer to at decimal places. (a) What proportion of students studied more than 40 hours? (b) What is the probability that a randomly selected student spent between 15 and 33 hours studying? (c) What proportion of students studied less than 33 hours?Use the TI-84 Plus calculator to find the z-scores that bound the middle 84% of the area under the standard normal curve. and round to two decimal places. The z-scores for the given area are and XElevator ride: Engineers are designing a large elevator that will accommodate 42 people. The maximum weight the elevator can hold safely is 8148 po According to the National Health Statistics Reports, the weights of adult U.S. men have mean 188 pounds and standard deviation 63 pounds, and the w adult U.S. women have mean 158 pounds and standard deviation 72 pounds. Use the TI-84 Plus calculator. Part 1 of 3 (a) If 42 people are on the elevator, and their total weight is 8148 pounds, what is their average weight? The average weight is pounds. X 5 Part 2 of 3 (b) If a random sample of 42 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded? Round the answer to least four decimal places. The probability that the maximum safe weight will be exceeded is X Part 3 of 3 Continue Sub(b) If a random sample of 42 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded? Round tfi least four decimal places. The probability that the maximum safe weight will be exceeded is T' Part 3 of3 (c) If a random sample of 42 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded? Round t at least four decimal places /7______k The probability that the maximum safe weight will be exceeded is l l f X S) l W; l