normal distbns and uniform distbns

normal distbns and uniform distbns - Practice Problems for...

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Practice Problems for Normal Distributions and Uniform Distributions © 2010 Radha Bose FSU Department of Statistics 1 1. Let us suppose that the times (in minutes) that people take to shower can be modeled by the U(5,60) distribution. (a) What is the mean shower time? (b) Between which two values are the middle 50% of shower times? (c) What percent of people take longer than 40 mins to shower? (d) What percent of people take 40 mins to shower? (e) Between which two values does the third quarter of shower times fall? (f) If 35% of us take longer to shower than you do, how long do you take to shower? 2. The head circumferences of a certain animal are Uniformly distributed between 51 and 67 cm. (a) Write down the notation for the distribution of head circumferences. (b) What is the five-number summary of the distribution? (c) Zoos generally look for animals with head circumferences between 56 and 62 cm. What percent of the total population consists of such animals? (d) Animals who are not yet mature generally have head circumferences in the lower 20%. If a research biologist is looking for an immature animal, what is the maximum head circumference he should be looking for? 3. The times taken to drive from City A to City B can be modeled by a Normal distribution with mean 89 mins and standard deviation 13 mins. (a) What is the distribution here? (b) Draw an appropriately labeled density curve showing what the Empirical rule predicts about the driving times. (c) What percent of drivers take between 63 and 102 mins to drive from City A to City B? (d) The 16 th percentile of a distribution is a number that has 16% of the data less than or equal to it. What is the 16 th percentile of the driving times distribution? 4. Let us suppose that the number of hours per week that pre-kindergarten children spend in daycare can be described by a Normal model with mean 30 hours and standard deviation 7 hours. (a) What is the distribution here? (b) Draw an appropriately labeled density curve showing what the Empirical rule predicts about the number of hours per week spent in daycare. (c) What percent of pre-kindergarten children spend between 23 and 44 hours per week in daycare?

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normal distbns and uniform distbns - Practice Problems for...

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