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6) A section of an exam contains two multiple-choice questions, each with three

ID: 3040853 • Letter: 6

Question

6) A section of an exam contains two multiple-choice questions, each with three answetr choices (listed·A""B", and "C"). Assuming the outcomes t probability (as a reduced fraction) that both answers are the same ("AA"·"BB" or- Hint: List all the outcomes of the sample space first.] A) 1/27 o be equally likely, find the B) 1/3 C) 1/9 F are written on six slips of paper, and the 7) slips are placed into a hat. If the slips are drawn randomly without replacement, what is the probability that "A" is drawn first and B" is drawn second? A) 0.028 B) 0.033 C)0.024 D) 0.039 S) A lot of 1000 components contains 150 that are defective. Two components are drawn at s) random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Find P(A). A) 0.0224 B) 0.1491 C)0.15 D) 0.0067 9) A fast-food restaurant chain has 617 outlets in the United States. The following table categorizes them by city population and location and presents the number of outlets in each category. An outlet is chosen at random from the 617 to test market a new menu. 9) ion of city NE SE SW NW Under 50,000 32 32 26 16 50,000-500,000 50 41 56 40 Over 500,000 76 125 78 45 Given that the outlet is located in the West (either SW or NW), what is the probability th is in a city with population 50,000-500,000? A) 0.268 B) 0.368 C) 0.156 D) 0.716 10) Let A and B be events with P(A) 0.7, P(B) -0.5, and P BlA)-0.4. Find P(A and B). 10) ) 0.57 B) 0.28 C)0.2 D) 0.35 1n) For this year's mayoral election, voter dissatisfaction is very high. In a survey of 800 likely voters, 231 said they planned to write in an independent candidate rather than vote for the Democrat or Republican candidate for mayor. Estimate the percentage of voters who plan to write in an independent candidate? A) 28.875% B)80% C)23.1% D)71.125%

Explanation / Answer

6. there are 2 questions with 3 options a,b,c then the total ways of forming choices = 3C1*3C1 = 9

and the answers which we are looking for are aa,bb,cc and so the probability = 3/9 =1/3

As per the Chegg policy we are supposed to answer all the sub parts of the 1st question and so I have responded for the 1st question fully. Hope you understand. If you want rest of the questions pls post them seperately.

Hope the above answer has helped you in understanding the proble. Please upvote the ans if it has really helped you. Good Luck!!

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