# Question

Answer true or false to each statement, and give reasons for your answers.

a. If event A and event B are mutually exclusive, so are events A, B, and C for every event C.

b. If event A and event B are not mutually exclusive, neither are events A, B, and C for every event C.

a. If event A and event B are mutually exclusive, so are events A, B, and C for every event C.

b. If event A and event B are not mutually exclusive, neither are events A, B, and C for every event C.

## Answer to relevant Questions

A committee consists of five executives, three women and two men. Their names are Maria (M), John (J), Susan (S), Will (W), and Holly (H). The committee needs to select a chairperson and a secretary. It decides to make the ...Refer to Exercise 5.44. For each of the following events, list the outcomes that constitute the event, and describe the event in words. a. (not B) b. (A & B) c. (C or D) Refer to Exercise 5.41. a. Are events A and B mutually exclusive? b. Are events B and C mutually exclusive? c. Are events A, C, and D mutually exclusive? d. Are there three mutually exclusive events among A, B, C, and D? ...Suppose that A, B, and C are three events that cannot all occur simultaneously. Does this condition necessarily imply that A, B, and C are mutually exclusive? Justify your answer and illustrate it with a Venn diagram. Refer to Exercise 5.69. Use the complementation rule to find the probability that a randomly selected senator in the 109th Congress is Age (yr) No. of senators Under 50 ........... 12 50–59 ........... 33 60–69 ...Post your question

0