Suppose P (E) = 3/7 and P (F ) = 2/7 . Each of the following answers should be given as 77 a single fraction.
(a) [6 pts] If E and F are independent events, find P (E ∩ F ).
(b) [6 pts] If E and F are mutually exclusive events, find P (E ∪ F ). (Do not assume independence for this part.)
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
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 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).
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
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...
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
Given P(E) = .5 P(F) = .5 P(E AND F) = .25 Are E and F Independent? Are E and F Mutually Exclusive?
5. Suppose A, B are events such that P(A) = 1/3, P(B) = 1/4, find P(AUB) under each of the following assumptions: (a) If A and B are mutually exclusive (disjoint). (b) If A and B independent.
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)
Suppose that P(E)=0.36 P(F)=0.12 and E and F are mutually exclusive. What is P(E and F) Upper P left parenthesis Upper E or Upper F right parenthesisP(E or F)?