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Which formulas would be used to answer these two probability questions.
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? (2) One or the other will fail?
2. The probability is 1 in 4,000,000 that a singer 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. Hnit: 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"?
Consumers reported on average 1.7 problems per vehicle with a popular make and model of a 2006 car. We randomly select a vehicle of the same make, model, and year.
A sociologist wishes to conduct a poll to estimate the percentage of Americans who favor affirmative action programs for women and minorities for admissions to colleges and universities.
Use the central limit theorem to find the probability that the average number of moths in 30 traps is greater than 0.6. Give your answer to four decimal places.
If we wanted to shorten the interval of the estimation of the true mean of Saturday sales to a width of $600 in total, what should the size of our sample be to achieve it?
Find out the best predicted household size given that the household discards 5.00 lb of plastic.
A packaging company distributes quarter-pound beef patties to local fast-food restaurants. The restaurants demand the weights to be 4 plus or minus .02 ounces.
Smaller the p-value in test of hypothesis, the more important the results are.
The ELISA test for AIDS was used in the screening of blood donations in the 1990s. As with most medical diagnostic tests, the ELISA test is not infallible.
The flashlight batteries produced by Manufacturer X are known to have a mean life of 60 hours, with a standard deviation of 4 hours. At least what percentage of flashlights will have a life of 54 to 66 hours?
Simple random sample of 100 elements is taken: (a) What is the chance of an element being included in the sample? (b) What is this chance called (hint: not probability)?
Rrequired service under the warranty. consider a new dealer. what is the probablity that the first claim under this warranty is the tenth car sold?
Compute the 95% confidence and prediction intervals for values of y for X = 40. Determine correlation coefficient, Interpret.
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