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In surveys about sensitive topics, respondents are sometimes given ways to “hide” their answers from the surveyor. In a survey of taxpayers, one of the questions is, “Did you cheat on your taxes?” To answer, the respondent is asked to toss a coin. If it lands heads, the respondent must answer “yes.” If it lands tails, the respondent must answer the question truthfully, either “yes” or “no” (the answer has to be the one that is true). Assume that all respondents follow this procedure, and that for 10% of the respondents the truthful answer is “yes.” Also assume that the result of a respondent’s coin toss is independent of whether or not the respondent cheated on his/her taxes.

One of the respondents is picked at random.
1)Given that the respondent cheated on his/her taxes, what is the chance that he/she answered “yes”?
2)Given that the respondent did not cheat on his/her taxes, what is the chance that he/she answered “yes”?
3)Given that the respondent answered “yes,” what is the chance that the respondent cheated on his/her taxes?

  • math -

    1) 1.
    2) 0.5
    3) o.6

  • math -

    the third answer seems to be wrong

  • math -

    Third one is wrong.!!
    right answer????

  • math -

    Third one? 0

  • math -

    Nope, it is not 0

  • math -

    Third 0 is wrong!

  • math -

    Third one is 0.5741

  • math -

    0.5741 are wrong

  • math -

    Can somebody put right answer for this?????

  • math -

    third one is 0.55

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    what is the ans.of C???

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    0.55 is the wrong answer.!!

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    please answer C part

    and answer of
    A die has 2 red faces, 2 blue faces, and 2 green faces. It is rolled 240 times. Let R be the number of times red faces appear, and B the number of times blue faces appear.

    Consider the random variable D = R - B. That’s D for “difference.” If all 240 rolls show blue faces, then D = -240; if they all show red faces, then D = 240; otherwise D is somewhere in between. The random variable D is the sum of 240 draws at random with replacement from
    are correct]

    red, red, blue, blue, green, green red, red, blue, blue, 0, 0
    1, 0, 0, 0, 0, 0
    1, 1, 0, 0, 0, 0
    1, 0, 0
    0, 1, 0
    1, -1, 0, 0, 0, 0
    1, 1, -1, -1, 0, 0
    1, -1, 0

    The random variable R is the sum of 240
    draws at random with replacement from

    red, red, blue, blue, green, green
    red, 0, 0
    1, 0, 0, 0, 0, 0
    1, 1, 0, 0, 0, 0
    1, 0, 0
    0, 1, 0
    1, -1, 0, 0, 0, 0
    1, 1, -1, -1, 0, 0
    1, -1, 0

    Find SE(D)

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    please answer today last day

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    C 0.65

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    comon guys help this brother out

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    a) 1 1 0 0 0 0
    10 0
    010
    b)1 1 -1 -1 0 0
    1 -1 0
    se(d) 12.6491

  • math -

    thanks Anonymous i done that i need the answer to the first problem part C

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    TRY 0.078

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    NO ITS WRONG PLZ COMON GUYS

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    0.5455

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    0.1818

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    which one is wrong? 0.5455 or 0.1818? Let me try the other one.

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    0.5455 is wrong

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    0.1818 because
    1) (0.05+0.05)/0.55=0.181818
    we should remember THAT in first case "eagle" taxcheaters ALSO INCLUDED!

  • math -

    0.1818 is the correct one

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