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 we have two events E and F such that their union is the entire...
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.
1. If two events are independent how do we calculate the and probability, P(E and F), of the two events? (As a side note: this "and" probability, P(E and F), is called the joint probability of Events E and F. Likewise, the probability of an individual event, like P(E), is called the marginal probability of Event E.) 2. One way to interpret conditional probability is that the sample space for the conditional probability is the "conditioning" event. If Event A...
Suppose for events E and F we have P(E and F) 0.1 P(E and F0.3 P(E, and F-0.2 P(E" and F*)-0.4 Find P(FE)
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-
ASAP HELP!! We are given to events, E and F, and these two events are mutually exclusive. The probability of event E- 0.24; and the probability of event F = 0.41. Find the following: a. P(E and F) = b. P(E|F) = C. PE or F)
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...
Suppose that we have two events, A and B, with P(A) = 0.40, P(B) = 0.70, and P(A ∩ B) = 0.20. (a) Find P(A | B). (b) Find P(B | A). (c) Are A and B independent? Why or why not?
Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A ∩ B) = 0.05. If needed, round your answer to three decimal digits. (a) Find P(A | B). (b) Find P(B | A). (c) Are A and B independent? Why or why not? A and B _____ independent, because _____ P(A).
Suppose that events E and F are independent, P(E) 0.3, and P(F) 0.8. What is the P(E and F)? The probability P(E and F) is (Type an integer or a decimal.)
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 ______