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## Given the following information about events A, B and C determine which pairs of events, if any, are independent and which are mutually excl

Question

Given the following information about events A, B and C determine which pairs of events, if any, are independent and which are mutually exclusive.

P(A) = 0.26, P(A|B) = 0.26, P(B) = 0.5, P(B|C) = 0, P(C)=0.45, P(C|A) =0.26.

Select all that apply:

a. Are B and C independent?

b. Are A and C mutually exclusive?

c. Are A and B independent?

d. Are A and B mutually exclusive?

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Mathematics
4 weeks
2021-08-18T04:07:19+00:00
2021-08-18T04:07:19+00:00 1 Answers
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## Answers ( )

Answer:a. Are B and C independent?

NOb. Are A and C mutually exclusive?

NOc. Are A and B independent?

YESd. Are A and B mutually exclusive?

NOStep-by-step explanation:Given the data in the question;

P(A|B) = 0.26 P(A) [ A and B are independent ]

P(B|C) = 0 [ B and C are mutually exclusive ]

P(C/A) = 0.26 ≠ P(C)

hence, [A and C are neither independent nor mutually Exclusive]

Therefore;

a. Are B and C independent?

NOb. Are A and C mutually exclusive?

NOc. Are A and B independent?

YESd. Are A and B mutually exclusive?

NO