The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 20 trials Outcome Number of Trials 0 0 1 3 2 1 3 1 4 4 5 2 Answer the following. Round your answers to the nearest thousandths. 6 (4 T 1 8 3 (a) From these results, compute the experimental probability of getting a S. 0 (b) Assuming that the machine is fair, compute the theoretical probability of getting a 8. 1 (c) Assuming that the machine is fair, choose the statement below that is true. The experimental and theoretical probabilities must always be equal. 9 1 As the number of trials increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. O As the number of trials increases, we expect the experimental and theoretical probabilities to become farther apart.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 37E
icon
Related questions
Question
1
2
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 20 trials and got the following results.
Outcome
Number of Trials
0
0
1
3
2
1
3
1
4
4
5
2
Answer the following. Round your answers to the nearest thousandths.
16
14
17
1
8
3
(a) From these results, compute the experimental probability of getting a S.
0
(b) Assuming that the machine is fair, compute the theoretical probability of getting a 8.
7
(c) Assuming that the machine is fair, choose the statement below that is true.
O The experimental and theoretical probabilities must always be equal.
9
1
As the number of trials increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
O As the number of trials increases, we expect the experimental and theoretical probabilities to
become farther apart.
X
S
?
Transcribed Image Text:1 2 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 20 trials and got the following results. Outcome Number of Trials 0 0 1 3 2 1 3 1 4 4 5 2 Answer the following. Round your answers to the nearest thousandths. 16 14 17 1 8 3 (a) From these results, compute the experimental probability of getting a S. 0 (b) Assuming that the machine is fair, compute the theoretical probability of getting a 8. 7 (c) Assuming that the machine is fair, choose the statement below that is true. O The experimental and theoretical probabilities must always be equal. 9 1 As the number of trials increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. O As the number of trials increases, we expect the experimental and theoretical probabilities to become farther apart. X S ?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,