a)P(A u B)=P(A)+P(B)-P(AB)=0.4+0.5-0.2=0.7
b)P(A'B)=P(B)-P(AB)=0.5-0.2=0.3
c)P(A'(A u B))=P(A'B)=0.3
d)P(A u (A'B))=P(A u B)=0.7
2.16 Suppose that P(A) = 0.4, P(B) = 0.5 and P(AB) = 0.2. Find the following:...
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
3.9. Given P(A 0.4, P(B) 0.5, and P(An B)-0.2 verify that a) P(A B)-P(A) b) P (A |B)-P(A) c) P(BlA) P(B) d) P(BIA) P(B) 3.10. If the events A and B are independent and P(A) 0.25 and P(B)- 0.40, find a) P(An B) b) P(AB) c) P(AUB) d) P(A nB)
2.40 Given that P(A)0.3, P(B) 0.5 and P(B|A)0.4, find the following a) P(AB) b) P(A|B) e) P(A'IB) d) P(AIB)
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>
If P(E)=0.4, P(F) = 0.5, and P( E (a) P(E") (b) PEUF) F)=0.2, find the following (a) P(E") =D (Simplify your answer. Type an integer or a decimal.) (b) P(EU F)=0 (Simplify your answer. Type an integer or a decimal.)
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
Suppose that P(A) = 0.2 and P(B) = 0.5 and P(A ∪ B) = 0.6. Find P(A' ∪ B' )
Suppose that P(A)0.5, P(B)0.2, P(C) 0.3, P(AnB) 0.1 and P(AnC) 0.1. Compute the following: (a) (2 points) P(AUB) b) (6 points) P(A UC) (c) (4 points) Are the events A and B independent? What about A and C? (d) (8 points) If the sets B and C are mutually exclusive sets, what is P(A U B U C)?
exclusives 2.48 Answer the following questions. Suppose P(AB) = 0.6, P(ABC) = 0.4, and P(A) = 0.5. What is P(B)? a.
0.7 0.2 0.1 0.2 0.6 0.2 0.1 0.4 0.5 Check the time reversibility π,B- π, P,
0.7 0.2 0.1 0.2 0.6 0.2 0.1 0.4 0.5
Check the time reversibility π,B- π, P,