A survey found that women's heights are normally distributed with mean 63.7 in and standard deviation 2.3 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? Click to view page 1 of the table. Click to view page 2 of the table. a. The percentage of women who meet the height requirement is %. (Round to two decimal places as needed.) Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? O A. Yes, because a large percentage of women are not allowed to join this branch of the military because of their height. O B. No, because the percentage of women who meet the height requirement is fairly small. O C. No, because only a small percentage of women are not allowed to join this branch of the military because of their height. O D. Yes, because the percentage of women who meet the height requirement is fairly large. b. For the new height requirements, this branch of the military requires women's heights to be at least in and at most in. (Round to one decimal place as needed.)

4.

A variable is normally distributed with mean 21 and standard deviation 7. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed.a) Find the area to the left of 24. b) Find the area to the left of 15. c) Find the area to the right of 23. Incorrect d) Find the area to the right of 25. Incorrect e) Find the area between 15 and 29.

At a tennis tournament a statistician keeps track of every serve. The statistician reported the the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph. Assume that the statistician also gave us the information that the distribuation of the serve speeds was bell shaped. What percentage of the players serves are expected to be between 75mph and 130mph?   a) there are TWO "k" values in this problem. _____ (blank) and ____ (blank). Remember that "k" is the number of standard deviations from the mean.   b) the percentage of the players served betweeen 75 and 130 is ___ (blank)