Questions from Statistics Principles


Q: One type of passenger airplane has four engines but it can still

One type of passenger airplane has four engines but it can still fly with only one. Suppose each engine has probability .002 of failing during a flight. (a) Calculate the probability of all four engi...

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Q: Referring to Exercise 2.20, construct a density histogram using

Referring to Exercise 2.20, construct a density histogram using the intervals (6.5, 6.7], (6.7, 6.9], (6.9, 7.1], (7.1, 7.5], and (7.5, 7.9]. Using R: With the observations in x hist(x,breaks= c(6.5,6...

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Q: An insurance company's records of 12,299 automobile insurance policies revealed

An insurance company's records of 12,299 automobile insurance policies revealed that 2073 made a claim. Among insured drivers under age 25, there were 1032 claims out of 5192 policies (courtesy of J....

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Q: If the probability of running out of gas is .03 and

If the probability of running out of gas is .03 and the probability the electronic starting system will not work is .01, (a) What is the probability that there will be enough gas and that the startin...

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Q: When bidding on two projects, the president and vice president of

When bidding on two projects, the president and vice president of a construction company make the following probability assessments for winning the contracts. For both cases, examine whether or not th...

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Q: Suppose P(A) = .6andP(B) =

Suppose P(A) = .6andP(B) = .22. (a) Determine P ( A U B ) if A and B are independent. (b) Determine P ( A U B) if A and B are mutually exclusive. (c) Find P ( A I B) if A and B are mutually exclusiv...

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Q: Refer to Exercise 4.45. (a) If

Refer to Exercise 4.45. (a) If a fast food restaurant selected at random is found to comply with safety standards, what is the probability that it violates sanitary standards? (b) If a restaurant se...

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Q: Of 20 rats in a cage, 12 are males and 9

Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of the 12 male rats, 7 are infected with the virus. One rat is randomly selected from the cage. (a) If...

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Q: A restaurant critic goes to a place twice. If she has

A restaurant critic goes to a place twice. If she has an unsatisfactory experience during both visits, she will go once more. Otherwise she will make only the two visits. Assuming that the results for...

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Q: Of three events, A, B, and C, suppose

Of three events, A, B, and C, suppose events A and B are independent and events B and C are mutually exclusive. Their probabilities are P(A) = .6, P(B) = .3, and P( C ) = .2. Express the following eve...

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