A student goes to the library. Let events B= the student checks out a book and D= the student check out a DVD. Suppose that P(B)=0.58 , P(D)=0.45 and P(D|B)=0.40 .

Round each answer to four decimal places.

(a) Find P(B) .

Enter the exact answer.

P(B)=

(b) Find P(D AND B) .

Enter the exact answer.

P(D AND B)=

(c) Find P(B|D) .

Round your answer to three decimal places.

P(B|D)=

(d) Find P(D AND B) .

Enter the exact answer.

P(D AND B)=

(e) Find P(D|B) .

Enter the exact answer.

P(D|B)=