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1. A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully.
2. The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt "just on this trip"?
How do we go about interpreting the results of various types of statistical tests in health care research?
The publisher reports that 80% of college professors require or recommend that their students purchase some type of textbook package.
Employees of a local university have been classified according to gender and job type.
If the pilot plant fails, Rob feels the chance of the full-scale facility succeeding is only 20%. The probability that the pilot plant will succeed is estimated at 0.6. Structure this problem with a decision tree and advise Rob what to do.
Does the sample show sufficient reason to conclude that the population standard deviation is not equal to 8 at the 0.05 level of significance?
Make a pie chart or other indicator that expresses the market position of your fictitious IS business in terms of its top five products or services.
The following table gives the number of U.S. families, in thousands, with pet dogs, pet cats, and pet birds, by size of family.
Compute a 3-month moving average forecast of demand for April through January (of the next year).
Determine standardized test statistic z and its corresponding area. If convenient use technology. z=( ) round to two decimals. Area= ( ).
Triathalon Times Jeff Parent is a statistics instructor who participates in triathalons. Listed below are times (in minutes and seconds) he recorded as riding a bicycle for five laps through each mile of a 3-mile loop.
Although Bob raised the price to $1.75, sales of quarter-pound burgers rose to 8,200. Explain why this does not represent a violation of the law of demand.
Suppose a certain brand of Westinghouse light bulbs has a population life expectancy of 3000 and a population standard deviation equal to 100. (Assume the distribution of the population is normal). What is the probability that a sample of 30 light..
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