Answered

IDNLearn.com provides a seamless experience for finding the answers you need. Ask anything and receive immediate, well-informed answers from our dedicated community of experts.

Given P(A) = 0.4 and P(B) = 0.6, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.5, compute P(A and B).

Sagot :

Vjaguirre123idn

Answer:

Solution in photo

Step-by-step explanation:

View image Vjaguirre123
Abidemiokinidn

Answer:

a) 0.24

b) 0.3

Step-by-step explanation:

Given the following probability

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

a) P(A and B) =P(A)P(B) {Independent)

P(A and B) = 0.4×0.6

P(A and B) = 0.24

b) Given P(A | B) = 0.5, this is a conditional probability

If P(A | B) = P(A and B)/P(B)

Since If P(A | B) = 0.5

0.5 = P(A and B)/P(B)

P(A and B) = 0.5(P(B)

P(A and B) = 0.5(0.6)

P(A and B) = 0.3

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.