Asurvey found that women's heights are normally distributed with mean 62.7 in62.7 in. and standard deviation 3.5 in3.5 in. the survey also found that men's heights are normally distributed with mean 67.3 in67.3 in. and standard deviation 3.1 in3.1 in. consider an executive jet that seats six with a doorway height of 56 in56 in. complete parts (a) through (c) below. a. most of the live characters at an amusement park have height requirements with a minimum of 4 ft 99 in. and a maximum of 6 ft 33 in. find the percentage of women meeting the height requirement. the percentage of women who meet the height requirement is %b. find the percentage of men meeting the height requirement. the percentage of men who meet the height requirement is %c. if the height requirements are changed to exclude only the tallest 5% of men and the shortest 5% of women, what are the new height requirements?

Aparallel system functions whenever at least one of its components works. consider a parallel system of n components, and suppose each component works independently with probability 0.5. find the conditional probability that component n works given that the system is working

Which shows the pre image of triangle xyz

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution