Probability and Statistics Assignment

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Probability and Statistics AssignmentPart 1 of 9-Question 1 of 251.0 PointsSuppose that a histogram of a data set is approximately symmetric and "bell shaped".Approximately what percent of the observations are within two standarddeviations of themean?A.68%B.50%C.95%D.99.7%Reset SelectionPart 2 of 9-Question 2 of 251.0 PointsIf A and B are any two events withP(A) = .8 andthenis:A.0.56B..24C.0.875D.0.14Reset SelectionQuestion 3 of 251.0 PointsThree cards are drawn from a deck withoutreplacement. What is the probability that all threecards are clubs?A.0.0129B.0.012C.0.25

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D.0.0156Reset SelectionPart 3 of 9-Question 4 of 251.0 PointsAccording to an Internetposting, 80% of adults enjoy drinking beer. A group of 7 adults ischosen randomly. The probability that no more than 3 of them enjoy drinking beer is:A.0.429B.0.033C.0.029D.0.267Reset SelectionQuestion 5 of 251.0 PointsA drug is reported to benefit 40% of thepatients who take it. If 6 patients take the drug, what isthe probability that 4 or more patients will benefit?A.0.862B.0.138C.0.667D.0.179Reset SelectionQuestion 6 of 251.0 PointsSuppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume thata given battery is still operating with a probability of 0.70 and has failed with a probability of0.30.What is the probability that fewer than 40 batteries will last at least 8 hours?A.0.7986B.0.9598C.0.9211

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D.0.0789Reset SelectionPart 4 of 9-Question 7 of 251.0 PointsThe theorem that states that thesampling distribution of the sample mean is approximatelynormal when the sample size n is reasonably large is known as the:A.point estimate theoremB.simple random sample theoremC.central tendency theoremD.centrallimit theoremReset SelectionQuestion 8 of 251.0 PointsGiven that Z is a standardnormal random variable, P(-1.0<Z<1.5) isA.0.7745B.0.9332C.0.0919D.0.8413Reset SelectionQuestion 9 of 251.0 PointsFind the probability, P(Z < 0.17), using thestandard normal distribution.A..8300B..4325C..5675D..0675Reset Selection

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