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# Finding probability of household purchases of ground coffee

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During 2001, 61.3% of US households purchased ground coffee.These households spent an average of \$36.16 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 \$36.16 and a standard deviation of \$10.00

a. Find the probability that the household spent less than \$25.00
b. Find the probability that a household spent more than \$50.00
c. Find the probability that a household spent more than \$75.00
d. What proportion of the households spent between \$30 and \$40
e. 99% of the households spent less than what amount?
f. 80% of the households spent more than what amount?
g. Do you think that the assumption that the distribution of these expenditures is approximated by a normal distribution is valid. Explain.