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A: Given, A total of 2n people, consisting of n married couples, are randomly divided into n pairs. let…
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A: GIVEN DATA : There are 15 boys and 30 girls in the class 10 students are…
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Q: 5. Let A,. A. A, be three independent events. Prove or disprove that Af. Aş, and A are independent.
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A: Given, PA=0.01 PB/A=0.11 and PB/A-=0.06 PB=PA⁎PB/A+PA⁎PB/A…
Q: Consider three boxes containing a brand of light bulbs. Box I contains 6 bulbs of which 2 are…
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Q: 14. If the outcome of event A is not affected by event B, then events A and B are said to be : A.…
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A: a) Event A has occurred and event B can not occur then the events A and B are said to be disjoint .…
Q: If the outcome of event A is not affected by event B, then events A and B are said to be…
A: Definition of independent events.
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Q: Let Aj denote the event that no red balls are selected, let A2 denote the event that no white balls…
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Q: Suppose that two dice are rolled such that : A: what is the pr. that a sum of (7) or (11) turns up?
A: This question is related to probability problem of dice.
Q: 4) Consider evens A1, A2, A3 are mutually exclusive events, Let B be an event that intersects all…
A: Given,P(A1)=0.5P(A2)=0.3P(A3)=0.1P(B|A1)=0.6P(B|A2)=0.1P(B|A3)=0.4
Q: Based on Babich (1992). Suppose that each week eachof 300 families buys a gallon of orange juice…
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Q: If A1, A2, ... , A, are exhaustive and mutually exclusive events associated with a random experiment…
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Q: Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the…
A: The probabilities are P(A) = 0.01, P(A') = 0.99, P(B|A) = 0.11, P(B|A') = 0.06. The probability that…
Q: Suppose all 8 possible outcomes of an experiment are equally likely and denoted as E1, E2, E3, E4,…
A: We know, A=E1,E3, E4, E5B=E2, E4, E7, E8A∪B=E1 ,E2, E3, E4, E5, E7, E8
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Q: Consider three boxes containing a brand of light bulbs. Box I contains 6 bulbs of which 2 are…
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Q: You choose t candies simultaneously and uniformly at random from a collection that initially…
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Q: One coin is tossed twice. Case A is the first shot coming in tails, case B is the second shot coming…
A: It was stated that a coin is tossed twice. Case A is the first shot coming in tails. case B is the…
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A: Given that Let A be the event that the employee scores a passing grade on the exam and let M be the…
Q: Let A and B be two events with P(A) = 0.13, P(B) = 0.04 and P(AUB) = 0.1323. %3D %3D Then, A and B…
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Q: 5.7 Four supervisors and 3 engineers are responsible for work at a construction site, and at least 2…
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Q: If A, B, C, and D are independent event Prove that AUB and C- D are independent.
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Q: Are these events mutually exclusive (E) or mutually inclusive (I)? Blank 4 4. Randomly drawing…
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Q: 4. The probability a red marble selected at random from a jar containing p red, q blue and r green…
A: We have given that A jar containing p red marbles, q blue marbles and r green marbles
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Q: Exercise 24 Let A and B be 2 events : P(A) and P(B') 3 Can A and B be mutually exclusive? Why?
A: It is given that, P(A) =1/3 and P(B') = 1/4. This implies that P(B) =1-1/4 =3/4 We know that the…
Q: Suppose a coin is tossed thrice. Let the event A be "getting three heads" and B be the event of…
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Q: Suppose your vehicle is licensed in a state that issues license plates that consist of 3 digits…
A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…
Q: An experiment consists of picking one of two urns at random and then selecting a ball from the urn…
A: An experiment consists of picking one of two urns at random and then selecting a ball from the urn…
Q: Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the…
A: We have to use Bay's Formula : P( A | B ) = P(A)*P( B | A ) P(A)*P( B | A ) +P(Ac)*P( B | Ac )
Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9 Are A…
A: Given, PA=.5PB=.7PA∪B=.9 We have, PA∪B=PA+PB-PA∩B ⇒PA∩B =PA+PB-PA∪B =.5+.7-.9…
Q: 2. Suppose that a box initially contains b black balls and w white balls. In each step, we select a…
A: Box - ( b black balls and w white balls) One ball drawn, put it back with one new of same colour.…
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