Answered: The state lottery board is examining…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 4CC

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Question

The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with one of the digits 0 through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 1000 trials and got the following results.

Outcome	0	1	2	3	4	5	6	7	8	9
Number of Trials	101	97	113	112	102	97	92	92	105	89

Answer the following. Round your answers to the nearest thousandths.

(a) From these results, compute the experimental probability of getting a 6.

(b) Assuming that the machine is fair, compute the theoretical probability of getting a 6.

(c)Assuming that the machine is fair, choose the statement below that is true.

a) With a large number of trials, there might be a difference between the experimental and
theoretical probabilities, but the difference should be small.

b) With a large number of trials, there must be no difference between the experimental and
theoretical probabilities.

c) With a large number of trials, there must be a large difference between the experimental and
theoretical probabilities.

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