Probability and Statistics: Standard Deviation Word Problems
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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 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...
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 ...
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 ...
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 ...
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 ...
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 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...
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...
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...
