Question

Given that the P(A) = .3, P(B) = .5 and P(AnB) = .25, decide if the

Answer 1

Answer:

A and B are not independent

Explanation:

Given

$P(A) = .3,$

$P(B) = .5$

$P(A\ n\ B) = .25$

Required

Determine if A and B are independent

If A and B are independent, then:

$P(A\ n\ B) = P(A) * P(B)$

Substitute values for P(A) and P(B)

$P(A\ n\ B) = .3 * .5$

$P(A\ n\ B) = .15$

The calculated value of P(A n B) and the given value of P(A n B) are not equal.

i.e.

$.15 \ne .25$

Hence, A and B are not independent