Posted by Anonymous on Saturday, May 18, 2013 at 9:14am.
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.
Q1 Given that the respondent cheated on his/her taxes, what is the chance that he/she answered “yes”?
Q2 Given that the respondent did not cheat on his/her taxes, what is the chance that he/she answered “yes”?
Q3 Given that the respondent answered “yes,” what is the chance that the respondent cheated on his/her taxes?

statistics  Bob, Saturday, May 18, 2013 at 10:30am
So, trying to cheat on your edx exam? You'll only feel bad. Go back to the notes and work it out.

mathematic  Anonymous, Saturday, May 18, 2013 at 6:50pm
Thks Bob,as soon as you get the answer you can post us how to do it...

mathematic  Emerald, Saturday, May 18, 2013 at 7:59pm
Yeah, Bob. Don't be mean.
Anyways, I'm relevantly sure thet the first answer is 100%, and the second one is 50%.

mathematic  seriously, Saturday, May 18, 2013 at 9:23pm
Yeah Bob, this guy probably wants a job deciding whether a drug is safe or not. What harm is there if s/he is totally clueless about probability?

mathematic  MG, Saturday, May 18, 2013 at 10:28pm
I'm with Bob, the test and the course are very easy. I started it a week ago and I have already gotten a passing grade. If you try hard, you shouldn't have difficulty in passing the course. So just try to follow the Honor Code and do not cheat.

mathematic  nancy, Sunday, May 19, 2013 at 9:19am
OK but really about part C I'm confused.
I think it should be 25% or 0.25 but it is wrong!!!!

mathematic  not serious, Sunday, May 19, 2013 at 11:47am
C is 1

mathematic  Anonymous, Sunday, May 19, 2013 at 5:58pm
here are:
A=1
B=.5
C, I'm in the process to solve it, Definitely is not 1 or 0
after all, in real life you'll have to prove that you are able solve this kind of problems by yourself, or you better not say that you know probability!

mathematic  Mario007, Sunday, May 19, 2013 at 6:11pm
C=0.0909???

mathematic  Din123, Sunday, May 19, 2013 at 7:30pm
C = 0.0909 and 0.6 are wrong

mathematic  sarah, Monday, May 20, 2013 at 2:38am
ans of c ???? is 1 ????

mathematic  matt, Monday, May 20, 2013 at 2:54am
0.05

mathematic  mark, Monday, May 20, 2013 at 2:54am
0.06

mathematic  hahaha, Monday, May 20, 2013 at 2:56am
cheaters

mathematic  ct, Monday, May 20, 2013 at 6:32am
0.5455 is correct!

mathematic  me, Monday, May 20, 2013 at 6:39am
0.5455 is wrong

mathematic  Dave, Monday, May 20, 2013 at 8:53am
0.1818 is the correct one (Believe)

mathematic  sailesh, Monday, May 20, 2013 at 11:07am
how do u get 0.1818
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