Answer to Question #58576 in Statistics and Probability for Tatenda Bwititi

Question

During 2001, 61,3% OF u.S Households purchased ground coffee. These households spent an average of $36.16 on ground coffee during the year ("Annual Product Preference Study". Progressive Grocer, May 1, 2002, 31). Consider the annual ground coffee expenditures for households purchasing ground coffee, assuming that these expenditures are approximately distributed as normal random variable with the mean of $36.16 and a standard deviation of $10.00.
a. find the probability that a household spent less than $25.00
b. find the probability that a household spent more than $50.00
c. What proportion of the household spent between $30.00 and $40.00

2. Potholes requiring repair in a section of a national highway occur at an average rate of 3.2 potholes per kilometer.
a. What is the probability that there are no potholes that require repair in 5 km of the highway
b. What is the probability that at most three potholes require repair in 200m?