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##### Exercice 1 The mean of a normal probability di...

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Exercice 1 The mean of a normal probability distribution is 60; the standard deviation is 5. (Round your answers to 2 decimal places. Omit the % sign in your response.) (a) About what percent of the observations lie between 55 and 65? (b) About what percent of the observations lie between 50 and 70? (c) About what percent of the observations lie between 45 and 75? Exercice 2 Among U.S. cities with a population of more than 250,000, the mean one-way commute time to work is 24.3 minutes. The longest one-way travel time is New York City, where the mean time is 38.3 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.5 minutes. (a) What percent of the New York City commutes are for less than 30 minutes? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places. Omit the "%" sign in your response.) b) What percent are between 30 and 35 minutes? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places. Omit the "%" sign in your response.) c) What percent are between 30 and 40 minutes? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places. Omit the "%" sign in your response.) Exerxice 3 The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for college admissions in the United States. Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. Clinton College would like to offer an honors scholarship to students who score in the top 10 percent of this test. What is the minimum score that qualifies for the scholarship? Exercise 4 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. (d) What is the probability a family spends more than $3,000 per year? (Round your answer to 4 decimal places.) Exercise 5 Assume a binomial probability distribution with n = 40 and = 0.55. Compute the following: (Round the value for standard deviation and intermediate calculations to 2 decimal places and your final answer to 4 decimal places.) (a) The mean and standard deviation of the random variable. (b) The probability that X is 25 or greater (c) The probability that X is 15 or less. (d) The probability that X is between 15 and 25, inclusive

Paper#11417 | Written in 18-Jul-2015

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