Standard deviation in probability and statistics.
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Probability and Statistics: Standard Deviation WordProblems
Test for high school students
Test for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 38.8 and a standard diviation of 1.9. A student with a 3.5 to 4.00 grade point average who took the standarized tes is randomly ...
In France, years of life expectancy
In France, years of life expectancy are normally distributed with a mean of 81 years and a standard deviation fo seven years. For the French population:
a) What is the probability of living 92 years or ...
A pediatrician`s records show
A pediatrician's records show that height of a random sample 25 girls at age 12 months to be 29.530 inches with a standard deviation of 1.0953 ...
In a class of 25 students
In a class of 25 students, the grades were normally distributed with a mean of 78 and a standard deviation of 5. Sketch the normal curve for the distribution. What percentage of the students scored above an 88...
With a height of 69 inches, Alexander was the shortest
With a height of 69 inches, Alexander was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 75.4 inches and a standard deviation of 2.7.
a. What is the difference between Alexander's height and the mean?
A manufacturer of automobile batteries
A manufacturer of automobile batteries claims that the average length of life for its grade "A" battery is 60 months. However the guarantee on this brand is just for 36 months. Suppose the standard deviation of the life length is known to be 10 ...
At a fair, 37 pumpkins were entered for judging
At a fair, 37 pumpkins were entered for judging under the normal pumpkin division. If the masses are normally distributed and the average weight is 12.4 kg, with a standard deviation for 2.31 kg. What is the probability that a pumpkin has a mass between 13...
A reading program is administered
A reading program is administered to the bottom 5% of the students. If the average score of the students is 122.6, find the cutoff score that will make a student eligible to the ...
A whole sale distributor has found
A whole sale distributor has found that the amount of a customer's order is a normal random variable with a mean of $200 and a standard deviation of $50...
The mean amount of time that a manager spends
The mean amount of time that a manager spends in annual performance review with an employee is 27.2 minutes, with a standard deviation of 4.9 minutes. What percentage of the annual performance reviews in the department take between 22.3 and 32.1 minutes? Between 17.4 and 37 minutes? Between 12.5 and 41.9 ...
In Prof. Smith`s management course
In Prof. Smith's management course the correlation between the students' total score before the final examination and their final examination scores is r=.06. The pre-exam totals for all students in the class have mean 280 and standard deviation of 30. The final exams scores have mean of 75 and standard deviation of 8. Prof Smith lost Suee's final exam but knows that her total before the esam was 300...
A tire company tested another model of tire and found the tires to be normally distributed with respect to wear. The average (mean) tire wore out at 46,000 miles, and the standard deviation was 24,000. IF 2000 tires were tested, about how many are likely to wear out before 45...
For a student to graduate, a high school requires that each student demonstrate competience in mathemantics by scoring 70 or above on a mathematics achievement test. The scores of those students taking th test are normally distributed with a mean of 74 and a standard deviation of 4.8...
2500 employess avg 15.5 years standard devitation 6.1 years how many with over 18 yrs
the neck size of men is normally distributed, with a mean of 15.5 inches for a shirt with a 0.5 inch standard deviation, and a new line of 1,000 shirts will be ...
a box contains 2 blue pins and 3 red pins, the color of a pin that is randomly chosen is recorded and the pin is returned to the box, given that this process is repeated 4 tomes and X is the number of times a blue pin is chosen, find the mean value and the standard deviation of X
Assume that the length of time, x, between charges of a pocket calculator is normally distributed with a mean of 100 hours and a standard deviation of 15 hours. Find the probability that the calculator will last between 80 and 120 hours between charges
Find the standard deviation for this data set, correct to the nearest tenth.
45 39 26 52 34 30
THE PROBAABILITY OF WINNING A VERTAIN LOTTERY IS 1/51, 949. FOR PEOPLE WHO PLAY 560 TIMES, FIND THE STANDARD DEVIATION FOR THE RANDOM VARIABLE ...
At work Mr. Bussmann must wear a dress shirt, long pants, and shoes. He has four dress shirts(red, blue, orange, purple), three pairs of pants (green, yellow, tan) and two pair of shoes (...
The amount of time required to assemble a component on a factory assembly line is normally distributed with a mean of 3.1 minutes nd a standard deviation of 0.6 minutes. Find the percentage of employees taht will take between 2.0 minutes and 2...
Assume that the length of time, x, between charges of a pocket calculator is normally distributed with a mean of 100 hours and a standard deviation of 15 ...