3. MBB Problem 7.12 (modified)
Administrators at the national headquarters of the Center for the Display of Visual Arts are authorized to make small work- related purchases using purchasing cards. The average amount administrators charge to their cards per month is $278 with a standard deviation of 33 dollars. The data are normally distributed. The auditing staff at the center is concerned with the spending patterns of an administrator who has averaged $349 per month in charges.
(a) What percentage of balances are between $278 and $349 per month?
(b) What percentage of balances exceed $349 per month?
(c) Find the lower and upper dollar amounts that cover the middle 90% of monthly charges.
(d) Should the auditing staff be concerned about the spending habits of this particular administrator?
4. MBB Problem 8.6
Traditionally, one-half of all cities that apply get job training grants. Four southern cities apply for grants, but none receive them. Assume all the cities were equally qualified. What is the probability that no southern city gets a grant?
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