A student goes to the library. Let events B=B= the student checks out a book and D=D= the student check out a DVD. Suppose that P(B)=0.51PB=0.51, P(D)=0.45PD=0.45 and P(D|B)=0.40PD|B=0.40.

Round each answer to fourdecimal places.

(a) Find P(B)PB'. Enter the exact answer. P(B)=PB'=

(b) Find P(DANDB)PDANDB. Enter the exact answer. P(DANDB)=PDANDB=

(c) Find P(B|D)PB|D. Round your answer to three decimal places. P(B|D)=PB|D=

(d) Find P(DANDB)PDANDB'. Enter the exact answer. P(DANDB)=PDANDB'=

(e) Find P(DB)PD|B'. Enter the exact answer. P(DB)=PD|B'=