SOLUTION: 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 b

Algebra.Com
Question 984245: 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
100
102
80
99
125
82
98
113
113
88
Fill in the table below. Round your answers to the nearest thousandth.

(a)
Assuming that the machine is fair, compute the theoretical probability of getting an odd number.
(b)
From these results, compute the experimental probability of getting an odd number.
(c)
Assuming that the machine is fair, choose the statement below that is true:
With a large number of trials, there must be no difference between the experimental and theoretical probabilities.
With a large number of trials, there might be a difference between the experimental and theoretical probabilities, but the difference should be small.
With a large number of trials, there must be a large difference between the experimental and theoretical probabilities.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


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

Is the true statement.

John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS

In a certain lottery, a participant must choose five numbers from 1 to 30. (The numbers... (answered by stanbon)
In a state lottery 25 balls numbered from 1 to 25 and placed in machine. 6 numbers... (answered by Boreal)
In a lottery game, a machine has 51 balls marked with numbers from 1-51 and six of them... (answered by Boreal)
Infinte Jackpot is a lottery game. 50 balls numbered 1 through 50 are placed in a machine (answered by ikleyn)
The future United State lottery will involve the random selection of six (6) different... (answered by edjones)
In a state lottery game, anyone who picks 6 numbers out of 36 wins, What are the odds of... (answered by stanbon)
Consider a state lottery that has a weekly television show. On this show, a contestant... (answered by stanbon)
A state lottery is designed so that a player chooses six numbers from 1-30 on one lottery (answered by stanbon)
In a lottery game, a player picks six numbers from 1 to 30. If the player matches all six (answered by CPhill)