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# Probability Based on the Sampling Distribution

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The proportion of individuals insured by the All-Driver Automobile Insurance Company who received at least one traffic ticket during a five-year period is .15.
1. Show the sampling distribution of p if a random sample of 150 insured individuals is used to estimate the proportion having received at least one ticket.
2. What is the probability that the sample proportion will be within +-.03 of the population proportion.

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The solution gives detailed steps on calculating the probability based on the sampling distribution of proportion. All formula and calculations are shown and explained.

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1. Since the sample size of 150 is large enough, by the central limit theorem, the sampling ...

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