2.99
See Answer

Refer to Exercise 4.32. Corresponding to each verbal description given here, write the event in set notation, give its composition, and find its probability.

(a) C does not occur.

(b) Both A and B occur.

(c) A occurs and B does not occur.

(d) Neither A nor C occurs.

Data from Exercise 4.32:

A sample space consists of 8 elementary outcomes with the following probabilities.

P(e1) = .07 P(e2) = P(e3) = P(e4) = .11

P(e5) = P (e6) = P (e7) = P (e8) = .15

Three events are given as

A { e1, e2 , e6 , e7 },

B { e2, e3, e7 ), and C = {e6 , e8).

(a) Draw a Venn diagram and show these events.

(b) Give the composition and determine the probability of

(i) B¯ (ii) BC (iii) A U C (iv) A¯ U C.