Two events A and B are such that P(A)2, P(B).3, and P(AUB) -4. Find following: a P(An B) b P(AUB) d P(AB) If A and B are independent events with P(A)and P(B) .2, find the following: a P(AUB) b PAnB) c P(AU B)
assume: p(a)=.4,p(b)=.7 and p(AuB=.3. find p(AuB) a. .4 b..8c..2 d. .1
5. [5 marks] (a) A= = (4) B = (23) Calculate AB and BA (b) Evaluate S(4x3 – 3x2 + 2x – 1)dx (c) Convert the parametric equation to both vector and Cartesian form: [5 marks) X = 2 +31 y = 1 -21 z = 42 [5 marks) (c) A card is picked at random from a pack of 20 cards numbers 1, 2, 3, ..., 20. Given that the card shows an even number, find the probability that...
Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7. (a) Find P(A n B). 0.2 (b) Find P(AUB). 0.8 (c) Find P(An B). 0.3 (d) Find P(AB). (Enter your probability as a fraction.) 1/2
Find (if possible): a. AB and b. BA 2 3 A = 3 4 B = -3 -3 -2 0 4 1 0 0 a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. AB = (Simplify your answers.) OB. This matrix operation is not possible. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. BA= (Simplify your answers.)...
3. Let A and B be events. Show that P(ABl(AUB)) P(AB|A). When does equality hold?
3. Let A and B be events. Show that P(AB(AUB)) P(ABA). When does equality hold?
Question 5 1 pts If A and B are mutually exclusive events, then P(AB) = P(AUB) Not enough information to answer the question O False O True
5. Suppose A, B are events such that P(A) = 1/3, P(B) = 1/4, find P(AUB) under each of the following assumptions: (a) If A and B are mutually exclusive (disjoint). (b) If A and B independent.
8. Let P(A) P(B) - 1/3 and P(AnB) 1/10. Find the following: (b) P(AUB') () P(Bn A (d) PA UB)