Question: Suppose a random sample of 25 students is selected from a community college where the scores on the final exam (out of 125 points) are

Suppose a random sample of 25 students is selected from a community college where the scores on the final exam (out of 125 points) are normally distributed having mean equal to 112 and standard deviation equal to 4. Find the probability that the sample mean deviates from the population mean = 112 by no more than 3. Please show and explain your work.

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