6. Independent events A and B are such that P(A) = a, P(B) = 2a and P(A U B) = 5/8. Find P(A) and P(B).
If two events A and 2B are independent, P(A) x P(B) = P(A B)
P(A B) = P(A) + P(B) - P(A U B)
P(A) x P(B) = P(A) + P(B) - P(A U B)
a x 2a = a + 2a - 5/8
2a2 - 3a -5/8 = 0
a = 0.2515
P(A) = 0.2515
P(B) = 0.5030
6. Independent events A and B are such that P(A) = a, P(B) = 2a and...
5. Independent events A and B are such that P(A) = 0.45 and P = 0.18. Find: a) P(B) b) P(A U B) c) P (A B) (A, λ B')
If A and B are independent events with P(A) = .2 and P(B) = .6, then P(A ∪ B) = _____. a. .12 b. .68 c. .62 d. .60
Suppose two events A and B are two independent events with P(A) > P(B) and P(A U B) = 0.626 and PA กั B) 0.144, determine the values of P(A) and P(B).
#8. Let A and B be two independent events with P(A)-0.4 and P(A U B)-0.64. What is P(B)?
2) Suppose A and B are independent events, then) is incorrect. A P(AB) P(A) ( PCA n B) = P(A)P(B) P(AIB) = P(A) ⓑ P(A u B)-P(A) + P(8)
Suppose that A and B are independent events such that P (A) = 0.40 and P(B) = 0.60. Find P(An B) and P(AUB). (If necessary, consult a list of formulas.) (2) P(AnB) = 1 (b) P(AUB) Х 5 ?
1 Let A and B be independent events with P(A) and P(B) = FICE Find P(ANB) and P(AUB). 8 P(ANB) = P(AUB) =
If A and B are independent events such that P(A) = 0.43 and P(B) = 0.56, then find the value of P(A | B) then find P (A and B).
Let A and B be independent events with P(A) = 0.46 and P(B) = 0.56. a. Calculate P(A ∩ B). (Round your answer to 2 decimal places.) b. Calculate P((A U B)c). (Round your answer to 2 decimal places.) P((A U B)c) c. Calculate P(A | B). (Round your answer to 2 decimal places.)
Suppose that the events A, B and C are mutually independent with P(A)=1 /2, P(B)=1/3 and P(C)=1/4. Compute P(AB U C). Note: the answer is 3/8. Show the steps to get to the final answer.