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Suppose the amount of money people spend on board games each year is normally distributed with...

Suppose the amount of money people spend on board games each year is normally distributed with a mean of $75 and a standard deviation of $35. Find the probability that the amount of money your instructor spends on board games differs from the mean by less than $40 using the following steps.

(a) What region of the normal distribution are you looking to find the area of? (to the left of a zscore, to the right of a z-score, between two z-scores, or to the left of one z-score and to the right of another z-score)

(b) Calculate the z-score(s) needed to find the probability

(c) What is the probability that the amount differs by less than $40?

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