Determine whether the given information is consistent with a probability distribution. $P ( A ) = 0.1$ ; $P ( B ) = 0.4$ ; $P ( A \cap B ) = 0.1$
A)Yes
B) No

Question

Determine whether the given information is consistent with a probability distribution.   $P ( A ) = 0.1$ ; $P ( B ) = 0.4$ ; $P ( A \cap B ) = 0.1$  
A)Yes
B) No

Quizplus · Accepted Answer

The sum of the probabilities of the events in a probability distribution must be equal to 1. In this case, $P ( A ) + P ( B ) - P ( A \cap B ) = 0.1 + 0.4 - 0.1 = 0.4$, which is not equal to 1. Therefore, the given information is not consistent with a probability distribution.

Determine Whether the Given Information Is Consistent with a Probability P(A)=0.1P ( A ) = 0.1P(A)=0.1

Determine Whether the Given Information Is Consistent with a Probability $P ( A ) = 0.1$