If P(A) = 0.22, P(B) = 0.27, and A and B are mutually exclusive, are they independent?
Given
and A and B are mutually exclusive
i.e.
If A and B are mutually exclusive then must be
Hence A and B are not independent
If P(A) = 0.22, P(B) = 0.27, and A and B are mutually exclusive, are they...
Events A and B are mutually exclusive. Suppose event A occurs with probability 0.27 and event B occurs with probability 0.09. If event A or event B occurs ( or both), what is the probability that A occurs? Round your answer to at least two decimal places.
Events A and B are mutually exclusive. Suppose event A occurs with probability 0.22 and event B occurs with probability 0.32 a. Compute the probability that B occurs but A does not occur b. Compute the probability that either B occurs without A occurring or A and B both occur (If necessary, consult a list of formulas.) b.
d) If A and B are mutually exclusive events, then P (An B) = 1// P (A) 2/1 0 3|| (A) + P (B) 4// P (A) + P (B) - P (A and B) e) If A and B are independent events, then P (AJB) 1-P(B) 2-P(A) 3-P(A)P(B) 4-P(A)+P(B)
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40. What is P(A B)? What is P(A | B)? Is P(A | B) equal to P(A)? Are events A and B dependent or independent? A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this...
If A & B are mutually exclusive events, P(A or B) = .7, P (A) =.2 then P(B) = If A and B are mutually exclusive events,P (A or B) - 7, P (A)- 2, then P (B)- O 0.9 O 0.5 O 0.0 ○ 0.14 O None of above
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A)= 0.30 and P(B)= 0.40. Assume that we have two events, A and Br that are mutually exclusive. Assume further that we know P(A) 0.30 and PCB 0.40 If an amount is zero, enter "0". a. What is P(An B)? b. what is p(AIB? C. Is AIB) equal to A)? Are events A and B dependent or independent? d. A student in...
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).
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(X)-0.32, P{Y)-0.44, and P(XUY)-0.58. (a) Are the events mutually exclusive? (b) Are they independent? (c) Calculate PXY. (d) Calculate P(IX).
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)