2) Suppose A and B are independent events, then) is incorrect. A P(AB) P(A) ( PCA...
2) Suppose A and B are independent events, then() is incorrect. PCAIB) P(A) O P(AnB) P(A)P(B) P(AUB)-P(A)+P(B) 0:(AIB) = P(A)
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.
5. Let A, B be events. (a) Calculate P(AB') if you are given that A, B are independent and P(A) (b) Calculate P(A) if you are given that P(AIB') P(AIB)
ppolt & Taluom Variable has edf. F(x), then the probability that X lies in the interval [a, b) is Question 2. 30 pt.) Single-choice questions 1) Suppose A and B are independent events, then)is incorrect. P(AIB) = P(A) B P(AB)- P(A) D PCA u B) = P(A) + P(B) e P(A B)-P(A)P(B) 2) Suppose X-Bin(10,0.3) and Y-Bin(15,0.3), they are independent, thenis incorrect. oX+Y-Bin(25,0.3) GX+Y-N(7.5,5.25) D VarX)VarCr) 3) Suppose X N(0,1) and YN(2,4), they are independent, then is incorrecet X +...
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).
Suppose that A and B are independent events such that P(A) = 0.40 and P(B) = 0.20. Find P(An B) and P(AUB). (If necessary, consult a list of formulas.) (a) P(A n B) = 0 (b) P(A U B) = 0 Х $ ? At a factory that produces pistons for cars, Machine 1 produced 145 satisfactory pistons and 145 unsatisfactory pistons today. Machine 2 produced 360 satisfactory pistons and 40 unsatisfactory pistons today. Suppose that one piston from Machine...
Video The prior probabilities for events A 1 and A 2 are PCA 1) = .50 and P(A2) = .50. It is also known that PCA 1 n A 2) = 0. Suppose P(BIA 1) = 20 and P(BA 2) = .02. a. Are events A 1 and A 2 mutually exclusive? Select b. Compute P(A i NB) (to 4 decimals). Compute P(A 2 NB) (to 4 decimals). C. Compute P(B) (to 4 decimals). d. Apply Bayes' theorem to compute...
true or false? If events A and B are independent, then P(AIB) is always equal to zero.
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 ?
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).