question archive QUESTION 1) P(A1) =
QUESTION 1) P(A1) =
Subject:MathPrice: Bought3
QUESTION 1)
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P(A1) = .20, P(A2) = .40, and P(A3) = .40. P(B1|A1) = .25. P(B1|A2) = .05, and P(B1|A3) = .10. |
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Use Bayes' theorem to determine P(A3|B1). (Round your answer to 4 decimal places.) |
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P(A3|B1) |
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QUESTION 2
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The U.S. Postal Service reports 95% of first-class mail within the same city is delivered within 2 days of the time of mailing. Six letters are randomly sent to different locations. |
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a. |
What is the probability that all six arrive within 2 days? (Round your answer to 4 decimal places.) |
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Probability |
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b. |
What is the probability that exactly five arrive within 2 days? (Round your answer to 4 decimal places.) |
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Probability |
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c. |
Find the mean number of letters that will arrive within 2 days. (Round your answer to 1 decimal place.) |
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Number of letters |
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d-1. |
Compute the variance of the number that will arrive within 2 days. (Round your answer to 3 decimal places.) |
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Variance |
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d-2. |
Compute the standard deviation of the number that will arrive within 2 days. (Round your answer to 4 decimal places.) |
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Standard Deviation |
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QUESTION 3 In a binomial distribution, n = 12 and π = .60. |
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a. |
Find the probability for x = 5? (Round your answer to 3 decimal places.) |
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Probability |
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b. |
Find the probability for x ≤ 5? (Round your answer to 3 decimal places.) |
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Probability |
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c. |
Find the probability for x ≥ 6? (Round your answer to 3 decimal places.) |
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Probability |
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A population consists of 15 items, 10 of which are acceptable. |
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QUESTION 4 In a sample of four items, what is the probability that exactly three are acceptable? Assume the samples are drawn without replacement. (Round your answer to 4 decimal places.) |
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Probability |
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QUESTION 5 According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance. Suppose the money spent is uniformly distributed between these amounts. |
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a. |
What is the mean amount spent on insurance? |
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Mean |
$ |
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b. |
What is the standard deviation of the amount spent? (Round your answer to 2 decimal places.) |
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Standard deviation |
$ |
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c. |
If we select a family at random, what is the probability they spend less than $2,000 per year on insurance per year? (Round your answer to 4 decimal places.) |
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Probability |
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QUESTION 6 The mean of a normal probability distribution is 60; the standard deviation is 5. (Round your answers to 2 decimal places.) |
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a. |
About what percent of the observations lie between 55 and 65? |
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Percentage of observations |
% |
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b. |
About what percent of the observations lie between 50 and 70? |
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Percentage of observations |
% |
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c. |
About what percent of the observations lie between 45 and 75? |
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Percentage of observations |
% |
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QUESTION 7
A normal population has a mean of 12.2 and a standard deviation of 2.5. |
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a. |
Compute the z value associated with 14.3. (Round your answer to 2 decimal places.) |
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Z |
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b. |
What proportion of the population is between 12.2 and 14.3? (Round your answer to 4 decimal places.) |
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Proportion |
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c. |
What proportion of the population is less than 10.0? (Round your answer to 4 decimal places.) |
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Proportion |
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QUESTION 8
A normal population has a mean of 80.0 and a standard deviation of 14.0. |
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a. |
Compute the probability of a value between 75.0 and 90.0. (Round intermediate calculations to 2 decimal places. Round final answer to 4 decimal places.) |
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Probability |
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b. |
Compute the probability of a value of 75.0 or less. (Round intermediate calculations to 2 decimal places. Round final answer to 4 decimal places.) |
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Probability |
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c. |
Compute the probability of a value between 55.0 and 70.0. (Round intermediate calculations to 2 decimal places. Round final answer to 4 decimal places.) |
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Probability |
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QUESTION 9
For the most recent year available, the mean annual cost to attend a private university in the United States was $26,889. Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,500. |
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Ninety-five percent of all students at private universities pay less than what amount? (Round z value to 2 decimal places and your final answer to the nearest whole number.) |
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Amount |
$ |
