Math 124. Homework 2. Name:\ Let

E

and

F

be events in a sample space

S

, and suppose

Pr(E)=0.5,Pr(F)=0.8

, and

Pr(E\\\\cap F)=0.4

.\ (a) Calculate

Pr(E\\\\cup F)

\ (b) Calculate

Pr(F^(c))

\ (c) Are

E

and

F

mutually exclusive? Why or why not?\ (d) Are

E

and

F

independent? Why or why not?

1. Let E and F be events in a sample space S, and suppose Pr(E)=0.5,Pr(F)=0.8, and Pr(EF)=0.4. (a) Calculate Pr(EF) (b) Calculate Pr(Fc) (c) Are E and F mutually exclusive? Why or why not? (d) Are E and F independent? Why or why not