Please DO UPVOTE
1. (10 pts) Consider two events, A and B, for which we have the following probabilities....
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
Exercise 1 (SOA type). Let us say that we have 2 events A and B which satisfy that P(AUB) = 0.7 and P(AUB) = 0.9. Compute P(B).
0.2 Question 7 (1 point) <Venn 3> There are 2 events: A, B with P(A)-0.5, P(B)-0.4, P(AUB)-0.7 Find P(BA) (2 decimal places without rounding-up) Question 8 (1 point) Saved <Venn 4>
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)
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)
Question 5 (1 point) <Venn 6> There are 2 events: A, B with P(A)-0.5, P(B)-0.4, P(AUB)=0.7 Find P(Ac UB) (2 decimal places without rounding-up) Question 6 (1 point) Saved There are 2 events: A, B with P(A)-0.5, P(B)-0.4, PAUB)-0.7 Find P(A B)
False Question 3 (1 point) <Venn 5> There are 2 events: A, B with P(A)-0.5, P(B)-0.4, P(AUB)-0.7 Find P(A n B) Question 4 (1 point) Saved <Venn 2 There are 2 events: A, B with P(A)-Q5, P(B)-0.4, PAUB)-0.7
= 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
A 0.2 В 0.5 0.1 Given the events A and B above, find the following probabilities P(A and B) P(A or B) P(A | B) P(B | A) = P( not A and B) = P(A and not B) Are events A and B independent (yes Explain why or why not or no) Are events A and B independent (yes Explain why or why not or no) GRB 5/5/2019 Math 121 Final Spring 2019
Which of the following must be true regarding probability? P(S) ≤ 1 For two events A and B, P(AUB) = P(A) + P(B) If P(A)>0 and P(B)>0, then P(A∩B)>0 If P(A)>0 and P(B)>0, then P(AUB)>0