Asurvey found that women's heights are normally distributed with mean

63.9

63.9 in and standard deviation

2.4

2.4 in. a branch of the military requires women's heights to be between 58 in and 80 in.

a. find the percentage of women meeting the height requirement. are many women being denied the opportunity to join this branch of the military because they are too short or too tall?

b. if this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?

a. the percentage of women who meet the height requirement is

nothing

%.

(round to two decimal places as needed.)

a. 99.30% of the woman meet the height requirement

b.  If all women are eligible except the shortest 1% and the tallest 2%, then height should be between 58.32 and 68.83

Explanation:

According to the survey, women's heights are normally distributed with mean 63.9 and standard deviation 2.4

a)

A branch of the military requires women's heights to be between 58 in and 80 in. We need to find the probabilities that heights fall between 58 in and 80 in in this distribution. We need to find z-scores of the values 58 in and 80 in. Z-score shows how many standard deviations far are the values from the mean. Therefore they subtracted from the mean and divided by the standard deviation:

z-score of 58 in= = -2.458

z-score of 80 in= = 6.708

In normal distribution 99.3% of the values have higher z-score than -2.458

0% of the values have higher z-score than 6.708. Therefore 99.3% of the woman meet the height requirement.

b)

To find the height requirement so that all women are eligible except the shortest 1% and the tallest 2%, we need to find the boundary z-score of the

shortest 1% and the tallest 2%. Thus, upper bound for z-score has to be 2.054 and lower bound is -2.326

Corresponding heights (H) can be found using the formula

 and

Thus lower bound for height is 58.32 and

Upper bound for height is 68.83

answer: compare a myth legend, or classic work of literature of you choice to a modern work that reinterprets it.focus on the similarities in theme between the newer work and the original, and provide examples that illustrate these themes from both works. the modern work may be any novel, movie, play, short story, or other storytelling medium with which you’re familiars long as it is clearly inspired by a myth, legend, or classic work of literature.

short-response prompt  

read the following excerpt from “fish cheeks” by amy tannin which tan recounts a christmas eve dinner.  

i fell in love with the minister’s son the winter i turned fourteen. he was not chinese, but as white as mary in the manger. for christmas i prayed for this blond-haired boy, robert, and a slim new american nose.  

on christmas eve i saw that my mother had outdone herself in creating a strange menu. she was pulling black veins out of the backs of fleshy prawns. the kitchen was littered with appalling mounds of raw food: a slimy rock cod with bulging fish eyes that pleaded not to be thrown into a pan of hot oil. tofu, which looked like stacked wedges of rubbery white sponges. a howl soaking dried fungus back to life. a plate of squid, their backs crisscrossed with knife markings so they resembled bicycle tires.  

after everyone had gone, my mother said to me. “you want to be the same as american girls on the outside.” she handed me an early gift. it was a miniskirt in beige tweed. “but in side you must always be chinese. you must be proud you are different. your only shame is to have shame.”