Question

(a) The sample space of an experiment consists of five simple events:
E1, E2, E3, E4 and E5. These events are mutually exclusive. The probabilities of occurrence of these events are P(E1) = .20, P(E2) = .15, P(E3). 25, P(E4) = .30, P(E5) =.10. Several compound events can be defined for this experiment. They are: F= {E1, E2, E3}, G= {E1, E3, E5}, H= {E4, E5}. Determine
(i) P(G’) (ii) P(FUG) (iii) P(GUH) (iv) P(FandH) (v) P(FandG)

Answer 1

Answer:

a) The sample space of an experiment consists of five simple events:

E1, E2, E3, E4 and E5. These events are mutually exclusive. The probabilities of occurrence of these events are P(E1) = .20, P(E2) = .15, P(E3). 25, P(E4) = .30, P(E5) =.10. Several compound events can be defined for this experiment. They are: F= {E1, E2, E3}, G= {E1, E3, E5}, H= {E4, E5}. Determine

(i) P(G’) (ii) P(FUG) (iii) P(GUH) (iv) P(FandH) (v) P(FandG)

Answer 2

Answer:

The sample space of an experiment consists of five simple events:

E1, E2, E3, E4 and E5. These events are mutually exclusive. The probabilities of occurrence of these events are P(E1) = .20, P(E2) = .15, P(E3). 25, P(E4) = .30, P(E5) =.10. Several compound events can be defined for this experiment. They are: F= {E1, E2, E3}, G= {E1, E3, E5}, H= {E4, E5}. Determine

(i) P(G’) (ii) P(FUG) (iii) P(GUH) (iv) P(FandH) (v) P(FandG)