Assignment 5.2

A show that x has a binomial distribution b find p x

• Notes
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a. Show that X has a binomial distribution. b. Find P ( X = 10) c. Find and interpret μ X d. Find σ 2 X

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4. Suppose a police officer takes a two hour time period and records the number of vehicles traveling on US 131 that exceed the speed limit (where the speed limit is 70 miles per hour). Let X denote the number of vehicles that were exceeding the limit. Show that X does NOT have a binomial distribution. 5. Which of the following is not a characteristic of a binomial experiment? a. There is a sequence of identical trials b. Each trial results in two or more outcomes. c. The trials are independent of each other. d. Probability of success p is the same from one trial to another. 6. The expected value, μ X , of a binomial probability distribution with n trials and probability p of success is: 7. The expected number of heads in 100 tosses of an unbiased coin is
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• Fall '11
• Johnson
• Statistics, Binomial, Probability theory, Binomial distribution, university basketball players

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