Given P(E) = .5 P(F) = .5 P(E AND F) = .25
Are E and F Independent?
Are E and F Mutually Exclusive?
P(E AND F) = 0.25
P(E) * P(F) = 0.5*0.5 = 0.25
Since P(E AND F) = P(E) *P(F) , E AND F are independent
Here, P(E and F) is not equal to 0
So, not mutually exclusive
1. find p(e/F) given that p(F) = .88 and p(F) = .82 e and f are independent events. 2. fine p(E/F) give. that p(E) = 0.0 and p(F) = .6 e and f are mutually exclusive 1. find P(E/F) given that P(E)= .88 P(F)= .82
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).
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)
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
Complete each probability rule. If E and F are mutually exclusive events then P(E UF)- P(E)+PF) P(E) P(E I F) PE) + P(F) # 1 P(E)- 1- P(E) 1-P(E) If E and F are mutually exclusive events then P(E)+ P(F) If E and F are independent events, then P(E IF) number of outcomes in E number of outcomes in sample spaceE)PF
E and F are mutually exclusive. P(E) = 0.2, P(F) = 0.8 Find P(E È F)
3.) Given that P(A) = .5, P(B) = .4, and P(A and B) = 2, Find each of the following. A venn diagram may help) a. P(A or B) b. P(B) c. P(AB) d. P(BA) 4.) Event E and F have probabilities P(E) = .5,P(F) = 4, and P(E and F) = 2 a. Are E and F mutually exclusive? Explain your answer. b. Are E and Findependent? Explain your answer
e and E and P events associated with S. Suppose that Pr(E)-0.5, Pr(F) -0.4 (a) If E and F are independent, calculate: i. Pr(EnF) ii. Pr(EUF) iii. Pr(El) iv. Pr(FIE) (b) If E and F are mutually exclusive, calculate: i. Pr(ENF) ii. Pr(EUF) iii. Pr(E|F) iv. Pr(FIE)
question1: If events E, F & G are mutually independent, and P(E) = P(F) = P(G) = .3, then P(EF' | G) = a) .16 b) .18 c) .20 d) .21 e) .24 question2: A multiple choice history exam contains 5 choices per question. Sally knows 90% of the material that the exam covers. When she doesn’t know the answer to a question, she guesses. Determine the probability that Sally knew the answer to problem #17, given that she answered...
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)