Accounting Today reported that 37% of accountants purchase their computer hardware by mail order direct and that 54% purchase their computer software by mail order direct. Suppose that 97% of the accountants who purchase their computer hardware by mail order direct purchase their computer software by mail order direct.

If an accountant is randomly selected, determine the following probabilities:

a. The accountant does not purchase his computer software by mail order direct given that he does purchase his computer hardware by mail order direct.

b. The accountant does purchase his computer software by mail order direct given that he does not purchase his computer hardware by mail order direct.

c. The accountant does not purchase his computer hardware by mail order direct if it is known that he does purchase his computer software by mail order direct.

d. The accountant does not purchase his computer hardware by mail order direct if it is known that he does not purchase his computer software by mail order direct.