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In: Statistics and Probability

Suppose that the average number of a car accidents in a year was 10,276. The standard...

Suppose that the average number of a car accidents in a year was 10,276. The standard deviation for the same distribution was 2600. Calculate your answers to four decimal places and include the probability notation show all your work.

A) suppose that you took a sample of 75 years, is the sampling distribution normally distributed? explain how you know?
B) what is the mean and standard deviation for the sampling distribution of 75 years?
C) what is the probability that the mean number of car accidents in a sample of 75 years is less than 9500? include the z-scores for 9500 along with the probability.
D) what is the probability that the mean number of car accidents in a sample of 75 years is between 9800 and 10,300 accidents? include the z-scores for 9800 and 10,300 along with the probability. calculate your answer to four decimal places.

please don't use combinations. be neat and show all work.

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