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PROBLEM SET-4 Continuous Probability

PROBLEM SET-4 Continuous Probability - STATISTICS FOR...

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STATISTICS FOR SOCIAL SCIENCES BUS 152 ___________________________________________________________________________ PROBLEM SET - 4 SOME CONTINUOUS PROBABILITY DISTRIBUTIONS Problem 1 (6.1) Given a standardized normal distribution, what is the probability that a. Z is less than 1.57? b. Z is greater than 1.84? c. Z is between 1.57 and 1.84? d. Z is less than 1.57 or greater than 1.84? Problem 2 (6.3) Given a standardized normal distribution, what is the probability that a. Z is less than 1.08? b. Z is greater than -0.21? c. Z is less than -0.21 or greater than the mean? d. Z is less than -0.21 or greater than 1.08? Problem 3 (6.5) Given a standardized normal distribution with 100 = μ and 10 = σ , what is the probability that a. 75 X ? b. 70 < X ? c. 110 X or 80 < X ? d. 80% of the values are between what two X values (symmetrically distributed around the mean)? Problem 4 (6.7) During 2001, 61.3% of U.S. households purchased ground coffee and spent an average of \$36.16 on ground coffee during the year. Consider the annual ground coffee expenditures for households purchasing ground coffee, assuming that these expenditures are approximately distributed as a normal random variable with a mean of \$36.16 and a standard deviation of \$10.00. a. Find the probability that a household spent more than \$25.00. b. Find the probability that a household spent more than \$50.00. c. What proportion of the household spent between \$30.00 and \$40.00? d. 99% of the households spent less than what amount? Problem 5 (6.11)

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PROBLEM SET-4 Continuous Probability - STATISTICS FOR...

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