If P(A) = 0.25, P(B) = 0.35, and P(A intersection B) = 0.20 then, P(A union B) =
P(A union B) = P(A) + P(B) - P(A intersection B)
Substitute given values
=>P(A union B) = P(A) + P(B) - P(A intersection B)
=0.25+0.35 - 0.20
=0.40
If P(A) = 0.25, P(B) = 0.35, and P(A intersection B) = 0.20 then, P(A union...
Let P(A) = 0.4, P(B|A) = 0.5, and P(B|Ac) = 0.25. Compute P(A|B) . 0.20 0.35 0.57 0.80 The total probability rule is defined as P(A) = P(A ∩ B) P(A∩ Bc) True False
a. Given that P(A)=0.35, P(B)=0.40 and P(A∩B)=0.20, find P(A∪B) b. Given that P(A)=0.35, P(B)=0.40 and P(A∩B)=0.20, find P(A∩B ̅ ), "the probability of A intersect B complement"
A union negotiator feels that the probabilities are 0.25, 0.50, 0.20 and 0.05 that the union members will receive a raise of $1.50, $2.10, $3.00, or $4.10. What is the expected value of the raise?
(a) Show that P is closed under union and intersection. That is, show that for all A, B E P AUB,AnBEP (b) Show that NP is closed under union and intersection.
If P(A|B) = 0.4 and P(B) = 0.5, determine the intersection of events A and B. A. 0.20 B. 0.25 C. 0.70 D. 0.90 Will give a thumbs up whoever can answer this correctly.
Closure properties of P and NP. (a) Is P closed under union, intersection, concatenation, complement and star? Just answer ”yes” or ”no” for each operation. (b) Is NP closed under union, intersection, concatenation, complement and star? Just answer ”yes” or "no" for each operation.
Consider four events (A, B, C, and D) for which we know P(A) = 0.20, = 0.15, P(B’) = 0.95, P(C) = 0.35, P(D) = 0.45, = 0.3. A Venn diagram for the 4 events is given below. What is ? a. 0.05 b. 0.20 c. 0.25 d. 0.3
If A and B are independent events with P(A) = 0.4 and P(B) = 0.35, then P(A ∩ B) = a. 0.14 b. 0.25 c. 0.86 d. 0.75
QUESTION 15 The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution: 1 2 3 P(X=x) 0.35 0.25 0.20 0.10 0.05 0.05 On average, how many accidents are there in a week? 025 0.80 1.40 2.00
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