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1. Management of an airline knows that 0.5% of the airline's passengers lose their luggage on domestic flights. Management also know that the average value claimed for a lost piece of luggage on domestic flights is $600.00. The company is considering increasing fares by an appropriate amount to cover expected compensation to passengers who lose their luggage. By how much should the airline increase fares? Why? Explain, using the ideas of a random variable and its expectation.
2. A large shipment of computer chips is known to contain 10% defective chips. If 100 chips are randomly selected, what is the expected number of defective ones? What is the standard deviation of the number of defective chips? Use Chebyshev's theorem to give bounds such that there is at least a 0.75 chance that the number of defective chips will be within the two bounds.
3. A mainframe computer in a university crashes on the average 0.71 times in a semester.
a. What is the probability that it will crash at least two times in a given semester?
b. What is the probability that it will not crash at all in a given semester?
c. The MIS administrator wants to increase the probability of no crash at all in a semester to at least 90%. What is the largest u (mu) that will achieve this goal?
Compute test statistic for sample data that you would use to test whether sample mean varies from population mean of 10 pounds at a 5 percent level of significance in two-tailed test.
Find a 95% confidence interval for the difference in the proportion of deaths between the streptokinase and the control group.
The 99% confidence interval estimating the proportion of all students at the university who prefer outdoor exercise is given by which of the following?
Assume that the cost for this type of hospital emergency room visit is normally distributed with a standard deviation of $92. Assume that the following questions about the cost of a hospital emergency room visit for this medical service.
Test hypothesis that annual incomes of corporate trainers in areas of more than 500,000 are considerably more than those in areas of less than 100,000. Make use of the 5% level of risk.
Of the nine members of the board of trustees of a college, five agree with president on a certain issue. The president selects three trustees at random and asks for their opinions. What is the probability that at least two of them would agree with..
Misery loves company. It is time for the PE (professional engineer's exam). The results of the national test were normally distributed around the mean score of 70.
Hypothesis test for two factors ANOVA. Describe what thses represent and, based on figure, whether there is a problem with the data r otherwise.
Of the 250 students in a blind taste test, 150 (60%) preferred Milwaukee's Best over Natural Light. Then the 90% confidence interval for the student population proportion preferring Milwaukee's Best is:
A package of seeds states that the probability of germination is 0.92. For a package containing 75 seeds, the mean and variance of the number of seeds germinating are:
Calculate the difference in the average "clutter" between network and TV.
The accompanying two histograms represent the distribution of acceptance rates (percent accepted) among 25 business schools in 1995. The histograms use different class intervals, but are based on the same data. In each class interval, the left endpoi..
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