4. Given that P(A) = 1/3, P(A U B) = 5/6 and P(B | A) = 3/4, find P(B).
What does symbol | mean? Are the events A and B independent?
5. Suppose A, B are events such that P(A) = 1/3, P(B) = 1/4, find P(AUB) under each of the following assumptions: (a) If A and B are mutually exclusive (disjoint). (b) If A and B independent.
Let A, B be events such that P(A) = 1/3 , P(B) = 1/4 , and P(AB) = 1/6. Find the following and write in words what events a)-d). Example: AB' means that either A occurs or B does not occur. HINT: draw a diagram. a) P(A' B') b) P(A' B) c) P(A' u B) d) P(A' B') We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to...
Given the following information, answer questions 1-4. P(A) 0.36 P(B) 0.42 A and B are independent. Round all answers to 2 decimal places as needed 1) Find P(An B). 2) Find P(A U B). 3) Find P(A | B). 4) Find P(B| A). Preview Preview Preview Preview Given the following information, answer questions 5-7. P(A) 0.36 P(B)0.42 A and B are dependent. P(A B)- 0.42 Round all aunwers to 2 decimal placer as naedaed 5) Find P(An B). Preview 6)...
Question 4 You are given the following information on Events A, B, C, and D. P(A) = .5 P(B) = .3 P (C) = .15 P(A U D) = .7 P(A ∩ C) = 0.05 P (A │B) = 0.22 P (A ∩ D) = 0.25 Compute P(D). Compute P(A ∩ B). Compute P(A | C). Compute the probability of the complement of C. What does it mean to be mutually exclusive? Give an example of two events that are...
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).
Problem 3: If P(A) 0.2, P(B) 0.1, and P(A or B) PIA U B) 0.28, then (a) (2.5 points) find the P(A and B). That is, find P(AnB). (b) (2 points) clearly explain whether the events A, B are mutually exclusive (disjoint). (c) (2 points) clearly explain whether the events A, B are independent based on probability
1. (a) Two events A and B are such that P(A)=1/4,P(A/B)=1/2,and P(B/A)=2/3.Are A and B independent events? Are A and B mutually exclusive events? (b) How many sample of size 4 can be drawn without replacement from the population 0,3,6,3,18?compute the sampling distribution of the mean, then identify the relationship between the population and sampling distribution standard deviations?
If A and B are independent events with P(A)=1/4 and P(B)=2/3 calculate P(B|A) calculate P(A and B) If P(AandB)=.15 and P(B)=.6 what is P(A|B)
3. If P(A) = 0.6, P(B) = 0.55 and P() = 0.2, find P ( (A U B) \ () ). Please show using diagrams, and what does the symbol " \ " mean? We were unable to transcribe this imageWe were unable to transcribe this image
if P(A)=1/3 and P(B)=1/6 . What is P(A U B) and P (A ∩ B) ?