1 point) lf P(A)-0.4, P(B)-0.4, and P(A U B) 0.74, then (a) Are events A and B independent? (enter YES or NO) NO (b) Are A and B mutually exclusive? (enter YES or NO) NO
Let P(A) = 0.4 P(B) = 0.5 P(A|B) = 0.2 (Please show working). If the events a and b are independent, calculate the P(A and B) If the events a and b are not independent, calculate the P(A and B) If the events a and b are mutually exclusive, calculate the P(A or B)
(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
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
3.2 Independent and Mutually Exclusive Events 40. E and Fare mutually exclusive events. P(E) = 0.4; P(F) = 0.5. Find P(E|F)41. J and K are independent events. P(J|K) = 0.3. Find P(J) 42. U and V are mutually exclusive events. P(U) = 0.26: P(V) = 0.37. Find:a. P(U AND V) =a. P(U|V) =a. P(U OR V) =43. Q and Rare independent events P(Q) = 0.4 and P(Q AND R) = 0.1. Find P(R)
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...
Given P(A) = 0.6 and P(B) = 0.3 If A and B are mutually exclusive events, compute P(A or B). If P(A and B) = 0.2, compute P(A or B). If A and B are independent events, compute P(A and B). If P(B|A) = .1, compute P(A and B).
Events A and B are independent with p(A) - 0.2 and p(B) - 0.4. Find p(A union B). O 0.52 0.08 O 0.6
Chapter 3 3.2 Independent and Mutually Exclusive Events 40. E and Fare mutually exclusive events. P(E)-0.4; P(F) 0.5. Find P(E1F) 41.J and Kare independent events. PUlK) 0.3. Find PC) 42. Uand V are mutually exclusive events. P(U) 0.26; P(V)-0.37. Find: a. P(U AND V)= 43.Q and R are independent events. PQ) 0.4 and P(Q AND R) 0.1. Find P 3.3 Two Basic Rules of Probability Use the following information to answer the next ten exercises Forty-eight perc Californians registered voters...
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)?