C and D are two events with

P(C)=0.4,P(D)=0.5,

and P(C|D)=0.4. Calculate P(D|C). Give your answer as a decimal to the tenths place

LetN

be a random variable defined as the number of days of paid vacation for people in the U.S. Let's suppose A statistician comes up with the following probability function for N:

f

N

(n)={0.15forn=0,0.15forn=5,0.35forn=8,0.1forn=10,and0.25forn=12}.

What is the expected value ofN?

Give your answer as a decimal.