a. List all the possible outcomes. b. Let A be the event that only one candidate is interviewed. List the outcomes in A. c. Let B be the event that three candidates are interviewed. List the outcomes in B. d. Let E be the event that candidate 4 is interviewed. Are A and E mutually exclusive?

Question

Lucille Gilmore

Mathematics

25 December, 00:08

a. List all the possible outcomes. b. Let A be the event that only one candidate is interviewed. List the outcomes in A. c. Let B be the event that three candidates are interviewed. List the outcomes in B. d. Let E be the event that candidate 4 is interviewed. Are A and E mutually exclusive?

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Answers (1)

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Shane Chang · Answer 1

a) 1; 2; 31; 41; 32; 42; 431; 341; 432; 342 b) A = 1; 2 c) B = 431; 341; 432; 342 d) E = 431; 432; 341; 342, yes A and E are mutually exclusive

Step-by-step explanation:

The complete question is:

Four candidates are to be interviewed for a job. Candidate number 1 and 2 are qualified. Candidate number 3 and 4 are not. Candidates are interviewed at random and first qualified candidate interviewed will be hired. the outcomes are the sequences of the candidates that are interviewed. So if one outcome is 2, the other is 431.

a. List all the possible outcomes.

b. Let A be the event that only one candidate is interviewed. List the outcomes in A.

c. Let B be the event that three candidates are interviewed. List the outcomes in B.

d. Let E be the event that candidate 4 is interviewed. Are A and E mutually exclusive?

Mutually exclusive outcomes: Two outcomes are mutually exclusive if they can't occur together. From the list of outcomes of A and E, it is obvious that A and E can't occur together.