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The distribution of the number of people in line at a grocery store has a mean...

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Basic Math

The distribution of the number of people in line at a grocerystore has a mean of 3 and a variance of 9. A sample of the numbersof people in line in 50 stores is taken.

(a) Calculate the probability that the sample mean is more than4? Round values to four decimal places.

(b) Calculate the probability the sample mean is less than 2.5.Round answers to four decimal places.

(c) Calculate the probability that the the sample mean di?ersfrom the population mean by less than 0.5. Round answers to fourdecimal places.

Please help, and show step by step. Thank you.

Answer & Explanation Solved by verified expert
4.4 Ratings (958 Votes)
Population mean 3 Population variance 9 Population standard deviation 3 Sample size n 50 For sample Sample mean Population mean 3 Sample standard deviation sd Population standard deviation sqrtn    See Answer
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