In a bank, among the accounts opened before 2005, 40% are saving accounts, 20% are chequing accounts and rest are mutual fund accounts. These numbers for accounts opened on or after 2005 are: 30% saving accounts, 50% checking accounts and the rest mutual fund accounts. Also, 25% of accounts are opened before 2005. In your answers, use the following event definitions: A={accounts open before 2005}; B={savings accounts}; C={chequing accounts}; D={mutual fund accounts}
a) what percent of accounts are opened on or before 2005?
b) what percentage of all accounts are saving accounts?
c) what percentage of accounts are mutual fund accounts?
d) what percentage of accounts are savings or opened before 2005?
e) given that an account is a saving account, what is the probability that it is opened before 2005.