Consider two events A and B. It is known that P(A) = 0.5 and P(B) 1....
Consider two events A and B. It is known that P(A) = 0.5 and P(B) = 0.9. As well, it is known that A and B are independent. Calculate the following to two decimal places. (a) Calculate the probability of A AND B. (b) Calculate the probability of A OR B. Ž
Consider two events A and B. It is known that P(A) = 0.3, P(B|A) -0.2 and Calculate the following. Enter your answers to at least four decimal places accuracy. P(B|AC) = 0.3. (a) P(AC) - $ (b) P(B) - (c) P(ANB) (d) P(AB) = 3
Consider two events A and B. It is known that P(A) = 0.1, P(B|A) = 0.1 and P(B|AC) = 0.4. Calculate the following. Enter your answers to at least four decimal places accuracy. (a) P(AC) = 3 (b) P(B) = 3 (c) P(ANB) = 3 (d) P(A|B) = 3
Consider two events A and B whose probabilities are known. It is known that the two events are not mutually exclusive and not independent. Which of the following calculations could be used to compute P(A ∩ Bc)? P(A ∩ Bc) = P(A) + P(Bc) P(A ∩ Bc) = P(A) • P(Bc) P(A ∩ Bc) = 1- P(A ∩ B) P(A ∩ Bc) = P(A) - P(A ∩ B)
1. Consider two independent events, A and B, where 0< P(A) <1,0< P(B)< 1. Prove that A and B' are independent as well.
Suppose the events A and B have the property that P(B) = 0.5 and P(A and B) = 0.25. Find the conditional probability that A will occur if it is known that B has occurred, P(A|B). Show the formula you use or the calculation you do, as well as your answer.
Consider two independent events, A and B, where 0くP(A) < 1,0くP(8)く1. Prove that A' and B' are independent as well.
Let A and B be two events such that P(A)=0.45, P(B)=0.5 and P(A/B)=0.5. Let A' be the complement of A and B' be the comple (give answers to Two places past decimal) 1. Compute P(A). 0.55 Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 LALU 2. Compute P (AUB). 12 Tries 0/99 3. Compute P ( BA). ** Tries 0/99 4. Compute P (A' NB). 12 Tries 0/99
Question 1 Select one answer. Let A and B be two independent events. If P(A) = 0.5, what can you say about P(A | B)? Cannot find it because P(B) is not known. Cannot find it because P(A and B) is not known. Cannot find it because both P(B) and P(A and B) are not known. It is equal to 0.5. It is equal to 0.25. Question 2 Select one answer. Suppose a basketball team had a season of games...
Let A and B be two events such that P(A)=0.40, P(B)=0.5 and P(A|B)=0.4. Let A′ be the complement of A and B′ be the complement of B. (give answers to two places past decimal) 1. Compute P(A′). 2. Compute P (A ∪ B). 3. Compute P (B | A). 4. Compute P (A′ ∩ B).