0 9 40 0 1 2 3 4 5 6 7 8 9 4 2 5 3 2 6 6 3 6 3 Click on \"Explain\" if you need
ID: 3336299 • Letter: 0
Question
0
9
40
0
1
2
3
4
5
6
7
8
9
4
2
5
3
2
6
6
3
6
3
Click on "Explain"
if you need help.
(a)
From these results, compute the experimental probability of getting an odd number.
0.31
(b)
Assuming that the machine is fair, compute the theoretical probability of getting an odd number.
0.3333
(c)
Assuming that the machine is fair, choose the statement below that is true:
With a small number of trials, it is surprising when the experimental probability is much less than the theoretical probability.
With a small number of trials, it is not surprising when the experimental probability is much less than the theoretical probability.
With a small number of trials, the experimental probability will always be much less than the theoretical probability.
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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 digits0
through9
on it. (The ball is then replaced in the machine.) The lottery board tested the machine for40
trials and got the following results. Outcome0
1
2
3
4
5
6
7
8
9
Number of Trials4
2
5
3
2
6
6
3
6
3
Fill in the table below. Round your answers to the nearest thousandth.Click on "Explain"
if you need help.
Explanation / Answer
(a) Experimental probability of getting an odd number = Probability of getting 1,3,5,7,9
= (2+3+6+3+3)/40 = 17/40 = 0.425
(b) Theoretical probability of getting an odd number = 20/40 = 0.5
(c) Correct option:
With a small number of trials, it is not surpriing when the experimental probability is much less than the theoretical probability.
EXPLANATION: When the number of trials is small, there will be difference between experimental values and theoretical value. As the number of trials becomes large, this difference will become smaler and smaller.
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