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m u cSIUNI II that order! If A and B are two mutually exclusive events show that P(A/B) = - P(A) P-P(B)
T-1 Suppose two events A and B are mutually exclusive and PAI 0, P[B] 0 . Consider the following statements: i) P(An B)=0 ii) P(A U B) = P(A) + P(B) iii) A and B are statistically independent. Choose the correct statement. A) Only i) is true. B) Only ii) is true. C) Only iii is true. D) Only i) and i) are true. E) i), ii) and iii) are all true.
Given that A and B are two mutually exclusive events, find P (A or B) for the following. P (A)= 0.44 and P(B)= 0.33 P( A or B)=
If A & B are mutually exclusive events, P(A or B) = .7, P (A) =.2 then P(B) = If A and B are mutually exclusive events,P (A or B) - 7, P (A)- 2, then P (B)- O 0.9 O 0.5 O 0.0 ○ 0.14 O None of above
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...
Explain when will two events be independent and when will two events be mutually exclusive. Can two mutually exclusive events be independent also? Can two independent events be mutually exclusive? Suppose the experiment is roll two dice. Consider events E= both numbers are even. F = both numbers are odd, Are E and F mutually exclusive? Are they independent? Consider events U and V. U= the first number is even, V= the second number is even. Are U and V mutually...
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40. What is P(A B)? What is P(A | B)? Is P(A | B) equal to P(A)? Are events A and B dependent or independent? A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this...
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A)= 0.30 and P(B)= 0.40. Assume that we have two events, A and Br that are mutually exclusive. Assume further that we know P(A) 0.30 and PCB 0.40 If an amount is zero, enter "0". a. What is P(An B)? b. what is p(AIB? C. Is AIB) equal to A)? Are events A and B dependent or independent? d. A student in...
For two events that are mutually exclusive, P (A and B) =1; (T/F)? Explain briefly.
31. Assume that we have two events, A and B. that are mutually exclusive. Assume further that we know P(A) 30 and P(B) a. What is P(A n B)? b. What is P(A I B)? c. 40. A student in statistics argues that the concepts of mutually exclusive events and inde- pendent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this...
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)