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 o through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 100 trials and got the following results. 00 Outcome 0 1 2 3 4 5 6 7 8 9 D Number of Trials 8 7 11 13 12 7 16 9 9 8 Answer the following. Round your answers to the nearest thousandths. (a) From these results, compute the experimental probability of getting a 7 or 8. (b) Assuming that the machine is fair, compute the theoretical probability of getting a 7 or 8. 0 (c) Assuming that the machine is fair, choose the statement below that is true. As the number of trials increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. As the number of trials increases, we expect the experimental and theoretical probabilities to become farther apart. The experimental and theoretical probabilities must always be equal.
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 o through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 100 trials and got the following results. 00 Outcome 0 1 2 3 4 5 6 7 8 9 D Number of Trials 8 7 11 13 12 7 16 9 9 8 Answer the following. Round your answers to the nearest thousandths. (a) From these results, compute the experimental probability of getting a 7 or 8. (b) Assuming that the machine is fair, compute the theoretical probability of getting a 7 or 8. 0 (c) Assuming that the machine is fair, choose the statement below that is true. As the number of trials increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. As the number of trials increases, we expect the experimental and theoretical probabilities to become farther apart. The experimental and theoretical probabilities must always be equal.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text: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 o through 9 on it. (The ball is then replaced in the machine.) The
lottery board tested the machine for 100 trials and got the following results.
B
Outcome
0
1
2
3
4
5
6
7
8
9
Number of Trials 8
7
11 13
12
7
16
9
9
8
Answer the following. Round your answers to the nearest thousandths.
(a) From these results, compute the experimental
probability of getting a 7 or 8.
0
(b) Assuming that the machine is fair, compute the
theoretical probability of getting a 7 or 8.
0
(c) Assuming that the machine is fair, choose the
statement below that is true.
As the number of trials increases, we expect the
experimental and theoretical probabilities to
become closer, though they might not be equal.
As the number of trials increases, we expect the
experimental and theoretical probabilities to
become farther apart.
The experimental and theoretical probabilities must
always be equal.
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