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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Sigridomena 4 weeks 2021-08-18T04:07:19+00:00 1 Answers 0 views 0

Answers ( )

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    2021-08-18T04:09:15+00:00

    Answer:

    a. Are B and C independent?    NO

    b. Are A and C mutually exclusive?   NO

    c. Are A and B independent?    YES

    d. Are A and B mutually exclusive?  NO

    Step-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?    NO

    b. Are A and C mutually exclusive?   NO

    c. Are A and B independent?    YES

    d. Are A and B mutually exclusive?  NO

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