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Probability and Statistics Assignment

An assignment covering probability theory and statistical analysis concepts.

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    Probability and Statistics Assignment Part 1 of 9 - Question 1 of 25 1.0 Points Suppose that a histogram of a data set is approximately symmetric and "bell shaped". Approximately what percent of the observations are within two standard deviations of the mean? A.68% B.50% C.95% D.99.7% Reset Selection Part 2 of 9 - Question 2 of 25 1.0 Points If A and B are any two events with P(A) = .8 and then is: A.0.56 B..24 C.0.875 D.0.14 Reset Selection Question 3 of 25 1.0 Points Three cards are drawn from a deck without replacement. What is the probability that all three cards are clubs? A.0.0129 B.0.012 C.0.25

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    D.0.0156 Reset Selection Part 3 of 9 - Question 4 of 25 1.0 Points According to an Internet posting, 80% of adults enjoy drinking beer. A group of 7 adults is chosen randomly. The probability that no more than 3 of them enjoy drinking beer is: A.0.429 B.0.033 C.0.029 D.0.267 Reset Selection Question 5 of 25 1.0 Points A drug is reported to benefit 40% of the patients who take it. If 6 patients take the drug, what is the probability that 4 or more patients will benefit? A.0.862 B.0.138 C.0.667 D.0.179 Reset Selection Question 6 of 25 1.0 Points Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. What is the probability that fewer than 40 batteries will last at least 8 hours? A.0.7986 B.0.9598 C.0.9211

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    D.0.0789 Reset Selection Part 4 of 9 - Question 7 of 25 1.0 Points The theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the: A.point estimate theorem B.simple random sample theorem C.central tendency theorem D.central limit theorem Reset Selection Question 8 of 25 1.0 Points Given that Z is a standard normal random variable, P( - 1.0 < Z < 1.5) is A.0.7745 B.0.9332 C.0.0919 D.0.8413 Reset Selection Question 9 of 25 1.0 Points Find the probability, P(Z < 0.17), using the standard normal distribution. A..8300 B..4325 C..5675 D..0675 Reset Selection

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