Solution :
(a)
P(E U F) = 0.5 + 0.4 - 0.2 = 0.7
(b)
P(Ec) = 1 - P(E) = 0.5
(c)
P(Fc) = 1 - 0.4 = 0.6
(d)
P(Ec F) = P(F) - P(E F) = 0.4 - 0.2 = 0.2
F) - 0.2. Compute the values below. Let E and F be two events of an...
Let E and F be two events of an experiment with sample space S. Suppose P(E)= 0.4, P(F)=0.3, P(E U F) =0.5, Find P(F|E) and determine if the two events are independent. A) P(F|E)= 3/4, E and F are independent. B) P(F|E)= 3/4, E and F are not independent. C) P(F|E)=1/2 , E and F are independent. D) P(F|E)= 1/2, E and F are not independent.
QUESTIONS Let E and F be two events of an experiment, and suppose Pr(E)=0.3. Pr{f}=0.2 and Pr(ENF)=0.15. Find each of the following probabil Round answers to deal places where needed Pr EUF) PrE) Pr{E' F) Pr{EF)
sv 0/6 Submissions Used Let E and be two events of an experiment with sample space S. Suppose PE) - 0.56,PA) - 0.34, and Penn -0.2. Calculate the probabilities below. (0) PENA les PEUP) (0) REA9- (e) REUS
[15] 4. Let E and F be events of sample space S. Let P(E) = 0.3, P(F) = 0.6 and the P(EUF) = 0.7. a) Fill in all probabilities in the Venn diagram shown. S b) Find P(EnF). c) Find P(ENF). d) Find the P(E|F). e) Are E and F independent events? Justify your answer.
Let and B be events in a sample space S, and let C = S - (AUB). Suppose P(A) = 0.8, P(B) = 0.2, and P(An B) = 0.1. Find each of the following. (a) P(AUB) (b) P(C) (c) PAS (d) PLAC BC) (e) PLACUBS (1) P(BCnc)
2. Let C and D be two events exhaustively defining a sample space, we know that P(C) = 0.3, P(D) = 0.4, and P(c n D) = 0.2. what is P(C" n D)?
7. Let A and B be two events with P(A) 0.2 and P(B) = 0.4. What are the possible values for P(An B) and P(AU B)? (Hint: see Example 17 in Lecture 1)
let A and B be any 2 events with p(A)=0.2; P(AUB)=0.35; P(A and B)= 0.15 find P(A|B) QUESTION 25 Let A and B be any 2 events with p(A) 0.2; P(AUB) 0.35; P(A and B) 0.15 a.0.25 Find P(A|B) b.0.5 c.0.6 d.0.4
Q2. 5 marks] The sample space of a random experiment is (a; b; c; d; e) with probabilities 0.1, 0.2, 0.2, 0.1, and 0.4 respectively. Let A denote the event fa; b; c) and let B denote the event (b; c; e a. Determine P(A | B') b. Are the events A and B independent?
= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and P(ANB) Compute the probability that A will occur, given that B does not occur, A. 0.4 B. 0.1 C. -0.1 D. 0.5 E. none of the preceding