2) For each of the following pairs of events, classify the two events as dependent or...

Question

Question

2) For each of the following pairs of events, classify the two events as dependent or independent. Explain your answer.

– Making a correct guess on the first question on a multiple-choice test;

– Making a correct guess on the next question on a multiple-choice test.

-Events A and B, where P(A) = 0.4, P(B) = 0.6, and P(A and B) = 0.2

math Statistics-And-Probability

Answer 1

Answer #1

If P ( A and B ) = P ( A ) P ( B ) then events A and B are independent

Given that

P(A) = 0.4, P(B) = 0.6, and P(A and B) = 0.2

Solution :

P(A and B ) = 0.2

P ( A ) P ( B ) = 0.4 * 0.6

= 0.24

So

i.e.,

So events A and B are dependent

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Answer 2

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