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A die has been loaded to change the probability of rolling
Chapter 7, Problem 9E(choose chapter or problem)
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?
Questions & Answers
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: