The checking accounts of sun bank are categorized by the

The checking accounts of Sun Bank are categorized by the age of account and the account balance. Auditors will select accounts at random from the following 1000 accounts (numbers in the table are the number of accounts in each category):Problems 55

Account Balance

Age of the Account     0 \$499            \$500 \$999      \$1000 or More

Less than 2 years        120      240      90

2 years or more          75        275      200

a. What is the probability that an account is less than 2 years old?

b. What is the probability that an account has a balance of \$1000 or more?

c. What is the probability that two accounts will both have a balance of \$1000 or more?

d. What is the probability that an account has a balance of \$500 \$999 given that its age is 2 years or more?

e. What is the probability that an account is less than 2 years old and has a balance of \$1000 or more?

f. What is the probability that an account is at least 2 years old given that the balance is \$500 \$999?