The manager of a computer help desk operation has collected enough data to conclude that thedistribution of time per call is normally distributed with a mean equal to 8.21 minutes and astandard deviation of 2.14 minutes.A call is randomly selected.a)b)c)What is the probability a call will exceed 8.5 min?What is the probability a call will be between 6 and 10 min?The manager has decided to have a signal system attached to the phone so that after acertain period of time, a sound will occur on her employees' phone if she exceeds thetime limit. The manager wants to set the time limit at a level such that it will sound ononly 10 percent of all calls. What should the time limit be?

The distribution of time per call is normally distributed. The mean of the distribution, μ=8.21…

Answered: The manager of a computer help desk…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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. Ghana Rice Company. (GRC) sells rice to selected shops in Accra. GRC uses an automatic machine to fill the bags of rice. Weights of the bagged rice are approximately normally distributed with a mean of 75 kilograms and a standard deviation of 1.5 kilograms. a) GRC is unable to adjust the mean of the filling machine. However, it is able to adjust the standard deviation of the filling machine. What should be the standard deviation so that no more than 2% of all filled bags weigh more than 71.5 kilograms?
A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 2.5 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? OA. No, because the percentage of women who meet the height requirement is fairly small. OB. Yes, because the percentage of women who meet the height…
A survey found that women's heights are normally distributed with mean 63.6 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 the percentage of women who meet the height requirement is fairly large. OB. No, because the percentage of women who meet the height…
3. Assume the heights of students at Champlain College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College studenttallerthan 62.2 inches?A. 0.0668B. 0.0359C. 0.9332D. 0.9641E. 1.0155
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A survey found that women's heights are normally distributed with mean 63.4 in and standard deviation 2.5 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?
At a tennis tournament a statistician keeps track of every serve. The statistician finds that the mean serve speed of a particular player was 110 miles per hour (mph) and the standard deviation of the serve speeds was 5 mph. Assume that the distribution of the serve speeds was bell shaped. Using the Empirical Rule, find the following. a) percent of serves expected to be above 120mph. b) proportion of serves expected to be between 105mph and 125mph. c) proportion of serves expected to be below 105mph. d) percent of serves expected to be within 3 standard deviations of the mean.
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A recent report indicated a typical family spend $650 per month on food. Assume the distribution of food expenditures for a family of five follows a normal distribution, with mean of $650 and standard deviation of $120. A sample of 64 is taken. a) What percentage of the families spends more than $675 per month on food? b) What percentage of the families spends less than $660 per month on food? c) What percentage of the families spends between $660 and $670 per month on food? d) What percentage of the families spends less than $650 or more than $675 per month on
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