Suppose for events E and F we have P(E and F) 0.1 P(E and F0.3 P(E,...
Suppose we have two events A and B. Suppose further that P(A) - 0.1, PB)-0.2, and P(AUB) = 0.3. a. [2 marks] Calculate P(A NB) b. [2 marks] Use the mathematical definition of independence to determine if A and B are independent. Conclude in a single sentence. Use only one of the two appropriate c. [2 marks] Use the mathematical definition of mutual exclusivity to determine if A and Bare mutually exclusive. Conclude in a single sentence. MacBook Air #58...
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)
Suppose that we have two events E and F such that their union is the entire sample space and P(E)=1/3 and P(F)=2/3. Are they independent? Explain.
Suppose that E and F are two events and that P(E) = 8 and P(FE)- 4. What is P(E and F)?
Let E and F be two events of an experiment with sample space S. Suppose P(E)= 0.4, P(F)=0.3, P(E U F) =0.5, Find P(F|E) and determine if the two events are independent. A) P(F|E)= 3/4, E and F are independent. B) P(F|E)= 3/4, E and F are not independent. C) P(F|E)=1/2 , E and F are independent. D) P(F|E)= 1/2, E and F are not independent.
if E and F are independent events, find P(F) if P(E)=0.2 and P(E U F)= 0.3
F) - 0.2. Compute the values below. Let E and F be two events of an experiment with sample space S. Suppose P(E) - 0.5, PF) - 0.4, and P( E (a) P(EUA) (b) PCE) (c) PFC) (d) PRE-
Suppose that E, F, and G are events with P(E) = 8/25 , P(F) = 11/50 , P(G) = 23/100 , E and F are mutually exclusive, E and G are independent, and P(F | G) = 20/23 . Find P(E ∪ F ∪ G).
Let E and F be events for which P(E) = .5, P(F)= .4, and P(E F) = .2 a) are E and F mutually exclusive or independent? (justify mathematically) b) Find P(E F) c) Find P(F') d) Find P(F l E) e) Find P(E' F) We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Suppose that events E and F are independent, P(E)=0.7, and P(F)=0.8. What is the P(E and F)? The probability P(E and F) is ______