Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable 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 :

vjaguirre123

Answer:

Solution in photo

Step-by-step explanation:

View image vjaguirre123
abidemiokin

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

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.