Q.1.2 Events X and Yare such that) =0.45 and P(XuY)=0.85. Given that X and Y are independent and ...
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).
The events X and Yare mutually exclusive. Suppose P(X) 0.07 and P(Y) 0.05 (1) What is the probability of either X or Y occurring? (Round your answer to 2 decimal places.) Probability (2) What is the probability that neither X nor Y will happen? (Round your answer to 2 decimal places.) Probability
SHOW STEPS ON A PAPER WITH A CLEAR HANDWRITING PLEASE. a) If the sets Xand Yare non-mutually exclusive, show hat: b) Given two events X and Y, draw a Venn diagram to demonstrate that P(X) P(XnY)+ P(X nY), and deduce that P(X)- P(X/Y)P(Y) + P(X/Y)P(Y)
Suppose A and B are two events for which P(A) =0.18, P(B) = 0.45, and P(A or B) = 0.54. Find P( A and B) Find Are A and B mutually exclusive? (Support your answers!) Are A and B independent?
13. If the events X and Y are independent and P(X) = .4 and P(Y) = 5, what does P(XY) equal? (2) What is the probability of X or Y. (2) What is the conditional probability of Y given X? (2) If the events X and Y are independent and P(X) = .4 and P(Y)-3, what is the conditional probability of Y given X?(2) #4
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...
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)
1. If P(A) = 0.50, P(B) = 0.70, and P(A⋃B) = 0.85, which of the following is true of events A and B? a. They are independent b. They are mutually exclusive c. They are exhaustive d. None of the above 2. A parameter is a measure that is computed from a. Population data b. Sample data c. Test statistics d. None of these 3. The statement that "P(A | B) = P(B | A) when A and B are...
Given the following information about events A, B. and C, determine which pairs of events,if any, are independent and which pairs are mutually exclusive. P(A)-0.3 P(BIA) 0.3 P(B)0.5 P(CB) 0.33 P(C) 0.33 P(AIC)-0.33 Select all correct answers. Select all that apply: A and Care mutually exclusive D A and Care independent O Band C are independent 0 Band C are mutually exclusive D Aand B are mutualy exclusive A and B are independ
Let A and B be two events such that P (A) = 0.68 and P(B) = 0.01. Do not round your responses. (If necessary, consult a list of formulas.) (a) Determine P (AUB), given that A and B are independent. U (b) Determine P (AUB), given that A and B are mutually exclusive. X 5 ?