Assignment

Part 1-

Discrete Probability Distributions

In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 10% of all voters are Independent. A survey asked 25 people to identify themselves as Democrat, Republican, or Independent.

a. What is the probability that none of the people are Independent?

b. What is the probability that fewer than five people are Independent?

c. What is the probability that more than two people are Independent?

Be sure to show your work. Submitting only an answer with no calculations or excel output will result in a zero for the problem

Part 2-

Continuous Probability Distributions

Travelbus is an Internet-based travel agency wherein customers can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.

a. What is the probability of getting more than 12,000 hits?

b. What is the probability of getting fewer than 9,000 hits?

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Part 3-

Inference about Comparing two Populations

A men's softball league is experimenting with a yellow baseball that is easier to see during night games. One way to judge the effectiveness is to count the number of errors. In a preliminary experiment, the yellow baseball was used in 10 games and the traditional white baseball was used in another 10 games. The number of errors in each game was recorded and is listed here. Can we infer that there are fewer errors on average when the yellow ball is used?

Be sure to show your work. Submitting only an answer with no calculations or excel output will result in a zero for the problem

Part 4-

Chi Square Tests

Every week the Florida Lottery draws six numbers between 1 and 49. Lottery ticket buyers are naturally interested in whether certain numbers are drawn more frequently than others. To assist players, the Sun-Sentinel publishes the number of times each of the 49 numbers has been drawn in the past 52 weeks. The numbers and the frequency with which each occurred were recorded. (These data are from the Sunday, January 5, 1997, edition.)

a. If the numbers are drawn from a uniform distribution, what is the expected frequency for each number?

b. Can we infer that the data were not generated from a uniform distribution?

Be sure to show your work. Submitting only an answer with no calculations or excel output will result in a zero for the problem