Consider two events A and B. It is known that P(A) = 0.5 and P(B) =...
Consider two events A and B. It is known that P(A) = 0.5 and P(B) 1. 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. 数字 (b) Calculate the probability of A OR B.
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)
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.
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.
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
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 P(A) = 0.4 P(B) = 0.5 P(A|B) = 0.2 (Please show working). If the events a and b are independent, calculate the P(A and B) If the events a and b are not independent, calculate the P(A and B) If the events a and b are mutually exclusive, calculate the P(A or B)
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).