24) If events E, F & G are mutually independent, and P(E)P(F) P(G).3, then P(EF I...
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...
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 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)
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
5. Suppose E, F, and G are three disjoint events where P(E)- .15, P(F)- .25, and P(G).60. Find the following: (a) P(F or G) (b) P(Ec) (c) P((E or F)c) (d) P(FnG) 6. A new diagnostic test for a disease is studied. It is known whether or not these 100 individuals have the disease and the diagnostic test is administered. The results are as follows infectedhealthy tested positive tested negative 40 10 45 Let E-randomly selected person is infected and...
3-24 If E and F are two mutually exclusive events, what can be said about their independence? [Hint: What is Pr(E and F)? Then, using (3-17), what is Pr(E|F)? Does it equal Pr(E)?] In a family of three children, what is the chance of: 3-17 At least one girl? а. b. At least two girls? At least two girls, given at least one girl? C. d. At least two girls, given that the eldest child is a girl?
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 the events A, B and C are mutually independent with P(A)=1 /2, P(B)=1/3 and P(C)=1/4. Compute P(AB U C). Note: the answer is 3/8. Show the steps to get to the final answer.
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)