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?

Answers

Answer 1

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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Question 3
<
>
A friend has a 81% average before the final exam for a course. That score includes everything but
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Answers

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[tex] \underline{ \underline{ \text{Given}} }: [/tex]

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[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{ \tt{ 90}}}}}}}[/tex]

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Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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