### Find the probability that a household spent

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During 2016, 61.3% of U.S. households purchased ground coffee. Moreover, these households spent an average of \$361.60 on ground coffee during the year. Consider the annual ground coffee expenditures for households purchasing ground coffee, assuming that these expenditures are approximately distributed, as a normal random variable with a mean of \$361.60 and a standard deviation of \$100.00. (round all z-scores to 2 decimal places and report your answer to 2 decimal places, using conventional rounding rules)

a. Find the probability that a household spent less than \$275.00 on ground coffee.

b. 80% of the households spent less than what amount on ground coffee?

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