In an election, 70% of the voters were Republicans, and 30% were not. Of the Republicans, 60% voted for Candidate X, and of the non-Republicans, 15% voted for Candidate X. Consider a randomly selected voter. Define A = Voter is Republican. B Voted for Candidate X. = (a) Find the values. (Give the answers to two decimal places.) P(A) P(AC) P(BIA) P(B|AC) = = = = (b) Find P(A and B). (Give the answer to three decimal places.) Write in words what outcome it represents. This is the probability of being a non-Republican and voting for Republican. This is the probability of being a non-Republican and voting for Candidate X. This is the probability of being a Republican and voting for Republican. This is the probability of being a Republican and voting for Candidate X. (c) Find P(AC and B). (Give the answer to four decimal places.) Write in words what outcome it represents. This is the probability of being a Republican and voting for Republican. This is the probability of being a non-Republican and voting for Republican. This is the probability of being a Republican and voting for Candidate X. This is the probability of being a non-Republican and voting for Candidate X. (d) Using the results in parts (b) and (c), find P(B). (Give the answer to four decimal places. Hint: The events in parts (b) and (c) cover all of the ways in which B can happen.) (e) Use the result in part (d) to state what percent of the vote Candidate X received. (Give the answer to two decimal places.) %

Q: Find P(A U B), given that P(A) = 0.5. P(B) = 0.4, and A and B are mutually exclusive. 0.8 0.7 0.9…

A: We have given that P(A) = 0.5 P(B) = 0.4 Also, given that A and B are mutually exclusive

Q: A random sample of 607 customers in taco bell drive-through results in a mean service time of 163.1…

A: Solution: a. Let X be the service time. From the given information, n=607, x-bar=163.1 seconds and…

Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute…

Q: If P (A)=0.6, P (B)=0.1, and A and B are mutually exclusive, find P (A or B).

A:

Q: Find P(A∪B)

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Q: Evaluate. 5. 1)? X(X dx 1 5. 2. x(x² 1)2 (Type an exact answer.) I3D

A:

Q: dr (V+|)²

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Q: The number of degrees of freedom for a chi-square test is calculated as a. n-1.…

A: The number of degrees of freedom for a chi-square test is calculated as Solution: Correct option is…

Q: If P(B) = 0.30, P(A ∪ B) = 0.65, and P(A ∩ B) = 0.15, find P(A).

A: Given;           PB=0.30PA∪B=0.65PA∩B=0.15 Find; PA If A and B are two different events then…

Q: Given P(A) = 0.3 and P(B) = 0.4; if P(A and B) = 0.1, compute P(A or B)

A: From the provided information, P (A) = 0.3, P (B) = 0.4 and P (A and B) = 0.1

Q: Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?

A:

Q: Given P(A) = 0.20, P(B) = 0.25, and P(B|A) = 0.25, are A and B independent or dependent?

A: PA=0.20, PB=0.25 and PB|A=0.25

Q: Find the value of p: 1 2.9 = 1.2p + ¬p %3D 4

A: Solution:

Q: 3 5 - Let C= 2 6 |. Find - 5C. - 1

A: The given matrix is                                C=-3   5  2   6  0-1 We have to find -5C.

Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…

Q: 5 -1 2 Let D = Find -4D. | 0 -6 7 -4D = %3D

A:

Q: iven P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

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Q: Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

A:

Q: PY|X| (3|4) =?

A: Let us denote the possible outcomes in the form of ordered pairs (B, R) where B represents the…

Q: Let 0 0 1 2 1 10 01 b₂ 2 -1 1 0 0 1 b3 Let x satisfy Ax = b. Which of the following is the…

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Q: P(A ∪ B) = 0.9, P(B) = 0.7, P(A ∩ B) = 0.5. Find P(A).

A: A detailed solution is given below

Q: -2 -1 -2 and A = 1 Determine A if A -1 -2 -3

A:

Q: Find P (A/B) and P (BIA), show 4 3 3 Given P(A) = , P(B) 8 and P(B A) 8 whether A and B are…

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Q: for b find y...

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Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…