# Question

Use Venn diagrams to verify that

(a) (A âˆª B). C is the same event as A âˆª (B âˆª C);

(b) A âˆ©(B âˆª C) is the same event as (A âˆ© B) âˆª (A âˆ© C);

(c) A âˆª (B âˆ© C) is the same event as (A âˆª B) âˆ© (A âˆª C).

(a) (A âˆª B). C is the same event as A âˆª (B âˆª C);

(b) A âˆ©(B âˆª C) is the same event as (A âˆ© B) âˆª (A âˆ© C);

(c) A âˆª (B âˆ© C) is the same event as (A âˆª B) âˆ© (A âˆª C).

## Answer to relevant Questions

A department store that bills its charge- account customers once a month has found that if a customer pays promptly one month, the probability is 0.90 that he or she will also pay promptly the next month; however, if a ...The probability that a one- car accident is due to faulty brakes is 0.04, the probability that a one- car accident is correctly attributed to faulty brakes is 0.82, And the probability that a one- car accident is incorrectly ...Use the Venn diagram of Figure 2.7 And the method by which we proved Theorem 2.7 to prove Theorem 2.8. Figure 2.7 Duplicating the method of proof of Theorem 2.10, show that P(A âˆ© B âˆ© C âˆª D) = P(A) Â· P(B| A) Â· P(C| A âˆ© B) Â· P(D| A âˆ© B âˆ© C) provided that P(A âˆ© B âˆ© C) â‰ 0. For Any event A, show that A And Ã˜ are independent.Post your question

0