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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"?
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 175 and a standard deviation of 15. If an applicant is randomly selected, find the probability of a rating that is between 150 and 200.
Test whether the signals are uniformly distributed over the 24-hour period.
a particular pitching machine is manufactured so that it will throw the ball into the strike zone of a 6-foot batter 90
The project requires you forecast the historical data, replicating the appropriate trends, seasonalities, week-over-week variability, etc. Please refer to the chapter and materials on Forecasting for the procedures to do.
question the probability that house sales will increase in the next 6 months is estimated to be 0.25. the probability
q1test whether the mean time to assemble with the new method is less than that for the old method use t as test
What is the probability that a particular driver had exactly two speeding violations?
provide an example of where you think a graphical display could be used incorrectly. what ramifications do you think
What type of error has possibly been committed? Explain the error in ordinary language.
If you select a random sample of 16 customers: what is the probability that the mean time spent per customer is at least 3 minutes?
a casino gambler assums the dice he uses are fair. an investigator recorded the outcomes of 600 rolls of such a
The college theater department recently staged a production of a modern musical. A researcher recorded the gender of each student entering the theater and found a total of 385 females and 215 males.
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