The sample space of a random experiment is {a, b, C, d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2, respectively. Let A denote the event {a, b, c}, and let B denote the event {c, d, e}. Determine P(A u B)

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A: Note: according to our guidelines we can answer only first three subparts

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Q: What is P r [ { O 2 , O 4 } ]  ?

A: we are given: P(o1) =0.2 P(o2) = 0.25 P(o3) = 0.1 therefore P(o4)= 1-0.2-0.25-0.1= 0.45 to find…

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A: From the provided information, P (A\B) = 0.3 and P (A Ո B) = 0.4

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A:

Q: Let E and F be events of a sample space such that P(E)=0.46, P(F)=0.35 and P(EnF)=0.10. Find the…

A: We have to answer question based on conditional probability.

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A: Given that PE=0.40PF=0.25PE∩F=0.25 To determine: PF|E PE∩F' PE|F'

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A: The probabilities are PA=0.45, PB=0.4 and PA∩B=0.15.

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Q: The sample space of a random experiment is {a, b, c, d, e} with probabilities 0.1, 0.1, 0.2, 0.4,…

A: # sample space S=(a,b,c,d,e) with  probability (0.1,0.1,0.2,0.4,0.2) A=(a,b,c) & B=(c,d,e)  the…

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Q: Assume that 12 jurors are randomly selected from a population in which 74% of the people are…

A: The proportion of Mexican-Americans=0.74 The probability distribution table is given as below,

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Q: Let E and F be two events of an experiment with sample space S. Suppose P(E) = 0.52, P(F) = 0.31,…

A: Compute the probability as follows.

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A: Dear student, If you find this solution helpful please upvote ? it.

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Q: Preferred Supermarket Pick n Pay Checkers Woolworths Total No. of Females 60 70 115 245 No. of Males…

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Q: A and B are events defined on a sample space, with the given probabilities. Find P(A and B). (Give…

A: Given,

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A: Given Data: Sample space Probability a 0.1 b 0.1 c 0.2 d 0.4 e 0.2

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Q: Compute the indicated probabilities by referring to the probability tree. 0.4 0.2 0.6 0.6 (A) P(MnS)…

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Q: Assume that 12 jurors are randomly selected from a population in which 75% of the people are…

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A: a) P(A)=0.114+0.141+0.202=0.457P(C)=0.215+0.202+0.063+0.020=0.5P(A∩C)=0.202

Q: Let E and F be two events of an experiment with sample space S. Suppose P(E) = 0.46, P(F^) = 0.65,…

A: Given That, P(Ec)=0.46 P(Fc)=0.65 P(E U F)=0.7

Q: Assume that 12 jurors are randomly selected from a population in which 73% of the people are…

A: It is given that 73% of the people are Mexican-Americans.

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