Author:
Christine Farr

A National Park Service survey of visitors to the Rocky Mountain region revealed that 50% visit Yellowstone Park,40% visit the Tetons, and 35% visit both.a. What is the probability a vacationer will visit at least one of these attractions? (Round your answer to 2decimal places.)Probabilityb. What is the probability .35 called?(Click to select)c. Are the events mutually exclusive?(Click to select)2.P(A1) = .20, P(A2) = .40, and P(A3) = .40. P(B1|A1) = .25. P(B1|A2) = .05, and P(B1|A3) = .10.Use Bayes' theorem to determine P(A3|B1). (Round your answer to 4 decimal places.)P(A3|B1)3.Solve the following:a.b.P39c.C274.Which of these variables are discrete and which are continuous random variables? a. The number of new accounts established by a salesperson in a year.(Click to select)bThe time between customer arrivals to a bank ATM..(Click to select)c. The number of customers in Big Nick’s barber shop.(Click to select)d. The amount of fuel in your car’s gas tank.(Click to select)e. The number of minorities on a jury.(Click to select)f. The outside temperature today.(Click to select)5.The U.S. Postal Service reports 95% of first-class mail within the same city is delivered within 2 days of the time ofmailing. Six letters are randomly sent to different locations.a. What is the probability that all six arrive within 2 days? (Round your answer to 4 decimal places.)Probabilityb. What is the probability that exactly five arrive within 2 days? (Round your answer to 4 decimal places.)Probabilityc. Find the mean number of letters that will arrive within 2 days. (Round your answer to 1 decimal place.)Number of lettersd-1. Compute the variance of the number that will arrive within 2 days. (Round your answer to 3 decimalplaces.)Varianced-2. Compute the standard deviation of the number that will arrive within 2 days. (Round your answer to 4decimal places.) Standard Deviation6.In a binomial distribution, n = 12 and π = .60.a. Find the probability for x = 5? (Round your answer to 3 decimal places.)Probabilityb. Find the probability for x ≤ 5? (Round your answer to 3 decimal places.)Probabilityc. Find the probability for x ≥ 6? (Round your answer to 3 decimal places.)Probability7.A population consists of 15 items, 10 of which are acceptable.In a sample of four items, what is the probability that exactly three are acceptable? Assume the samples are drawnwithout replacement. (Round your answer to 4 decimal places.)Probability8.The mean of a normal probability distribution is 60; the standard deviation is 5. (Round your answers to 2decimal places.)a. About what percent of the observations lie between 55 and 65?Percentage of observations%b. About what percent of the observations lie between 50 and 70? Percentage of observations%c. About what percent of the observations lie between 45 and 75?Percentage of observations%9.A normal population has a mean of 12.2 and a standard deviation of 2.5.a. Compute the z value associated with 14.3. (Round your answer to 2 decimal places.)Zb. What proportion of the population is between 12.2 and 14.3? (Round your answer to 4 decimal places.)Proportionc. What proportion of the population is less than 10.0? (Round your answer to 4 decimal places.)Proportion10.A normal population has a mean of 80.0 and a standard deviation of 14.0.a. Compute the probability of a value between 75.0 and 90.0. (Round intermediate calculations to 2 decimalplaces. Round final answer to 4 decimal places.)Probabilityb. 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.)Probabilityc. Compute the probability of a value between 55.0 and 70.0. (Round intermediate calculations to 2 decimalplaces. Round final answer to 4 decimal places.) Probability11.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 standarddeviation is $4,500.Ninety-five percent of all students at private universities pay less than what amount? (Round z value to 2 decimalplaces and your final answer to the nearest whole number.)Amount

Tutorial