The accounts of the Excelsior company are being audited by an independent accounting firm. The com pany has 200 active accounts, of which 140 are current accounts, 45 are past due 60 or more days, and 15 ac counts are delinquent. The accounting firm will ran domly choose five different accounts in its auditing pro cedure.
a. What is the probability that none of the accounts chosen will be delinquent?
b. What is the probability that at most one of the ac counts chosen will be delinquent?
c. What is the probability that there will be three cur rent, one past due, and one delinquent accounts chosen?
d. What are the expected numbers of the various types of accounts that will be chosen?