Problem 3: If P(A) 0.2, P(B) 0.1, and P(A or B) PIA U B) 0.28, then...
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)?
(1 point) If P(A) = 0.1, P(B) = 0.1, and P(AUB) = 0.2, then P(An B) = 0.8 (a) Are events A and B independent? (enter YES or NO) NO (b) Are A and B mutually exclusive? (enter YES or NO) YES
9. If P(A) = 0.2, P(B) = 0.2, and P(A U B) = 0.4, then P(An B) = (a) Are events A and B independent? (enter YES or NO) (b) Are A and B mutually exclusive? (enter YES or NO)
True or False With explanation please. PIAJ-0.2 and P[BI-0.5 then PIA,BI-0.7 (F) Ip If A and B are two independent events, where k. Two mutually-exclusive events are independent. . The number of different 8-bit words containing three ones and five zeros are 40. (E) 1 1p 8
Solve the problem. The events A and B are mutually exclusive. If P(A) = 0.1 and P(B) = 0.1, what is P(A and B)? Question 10 options: A) 0 B) 0.5 C) 0.01 D) 0.2
(7) The events A and B are mutually exclusive (disjoint). If P(A) = 0.7 and P(B) = 0.2, what is P(A or B)? A) 0.14 B) 0 C) 0.9 D) 0.5 (8) The events A and B are mutually exclusive (disjoint). If P(A) = 0.2 and P(B) = 0.1, what is P(A and B)? A) 0.02 B) 0 C) 0.5 D) 0.3 (9) A probability experiment is conducted in which the sample space of the experiment is S = {1,...
Set Theory and Conditional Probability Problem #1 : (10pts) If P(A) 0.3 and P(B)0.2 and P(A n B) - 0.1. Determine the following probabilities Problem #2: (10pts) a) If the sets Xand Yare non-mutually exclusive , show that: b) Given two events X and Y, draw a Venn diagram to demonstrate that P(X)- P(XnY) + P(XnY), and deduce that P(X)- P(X/Y)P(Y) + P(X/Y)P(Y). Problem #3: (15pts) Consider two events X and Y with probabilities, P(X) 7/15, P(XnY)-1/3, and P(X/Y)-2/3. Calculate...
10.00 polnts Exercise 4-21 Algo Let P(A)-0.41, P(B) 0.36, and P(ANB) 0.22 a. Are A and B independent events? O Yes because PAIB) PIA Yes because FIA n B)メ。 No because PIA | B) PIA) No because PA n B) #0 b. Are A and B mutually exclusive events? O Yes because PIAI B) PIA) Yes because RA n B) # 0 O No because PIA | B) PIA) @ No because P(A n Β) # O c. What is...
Consider the following scenario: • Let P(C) = 0.2 • Let P(D) = 0.3 • Let P(C | D) = 0.4 A) FIND P(C AND D)= B)Are C and D mutually exclusive? Why or why not? C and D are mutually exclusive because they have different probabilities. C and D are not mutually exclusive because P(C) + P(D) ≠ 1 There is not enough information to determine if C and D are mutually exclusive. C and D are not mutually...
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.