A die has been loaded to change the probability of rolling

Chapter 7, Problem 9E

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QUESTION:

PROBLEM 9E

A die has been loaded to change the probability of rolling a 6. In order to estimate p, the new probability of rolling a 6, how many times must the die be rolled so that we are 99% confident that the maximum error of the estimate of p is ε = 0.02?

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QUESTION:

PROBLEM 9E

A die has been loaded to change the probability of rolling a 6. In order to estimate p, the new probability of rolling a 6, how many times must the die be rolled so that we are 99% confident that the maximum error of the estimate of p is ε = 0.02?

ANSWER:

Step 1 of 4

Given:

In a fair six-sided die, we have a chance of 1 in 6 to roll a six. The sample proportion is the number of successes divided by the sample size:

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