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1. In an exam, the mean score is 70 and the variance is 16. What is the probability that a student's score will lie within the "54 to 86" range? (Hint: Use Chebyshev's inequality, as we saw in class). What percentage of students will lie within 2 standard deviations on either side of the mean score?
2. You are the CEO of a company that sells a product and your sales advisor tells you that the anticipated consumer demand for your product during next year follows a Normal distribution with mean 1,200 units and standard deviation 100 units.
a) What is the probability that sales will exceed 1,000 units?
b) What is the probability that sales will be between 1,100 and 1,300 units?
c) The probability is 10% that sales will be more than how many units?
The scores of college-bound senior men on the math part of the SAT followed a normal distribution with mean 527 and standard deviation 116.
Construct a 95% confidence interval estimate for the population proportion of airline travelers who think that the airline fee that is most unreasonable is additional charges to redeem point/miles.
Using the Binomial Distribution, find the probability that if Air Northeast books 22 people on a flight, not enough seats will be available for all booked passengers.
Test the claim that the mean age of the prison population in one city is less than 26 years. Sample data are summarized as n = 25, x = 24.4 years, and s = 9.2 years. Use a significance level of α = 0.05.
Select the variable team salary and find the mean, median, and the standard deviation
nterpret the meaning of the y-intercept, b(0), and the slope, b(1), in this problem. Use the prediction line developed in (a) to predict the GPA for a student a GMAT score of 600
Among its various routes, a transit agency operates a trolley line. The line has a total of 18 trolley cars. Some of these cars are unavailable because they are being maintained or repaired.
You've been recently hired as a marketing analyst in an advertising agency. You are assigned the task of assessing the impact of direct marketing promotions.
In a group of six professors selected at random, what is the expected number of extroverts? What is the standard deviation of the distribution?
A company tracked the number of complaints it received during the first 6 months of last year, as shown in the following table:
An experiment was conducted to compare the effectiveness of three training programs, A, B, and C, in training assemblers of a piece of electronic equipment.
It was reported that 20 readers responded and 87% said "no" while 13% said "yes." Recognize 4 major flaws in this survey.
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