Question

We ask each student being surveyed

to toss a coin in private. If the coin lands "heads," they are to answer the question, "Have you plagiarized a term paper?" truthfully. If the coin lands "tails," they are told always to answer "yes," whether they have in fact plagiarized or not. Imagine that the true fraction of

students who have plagiarized is in fact 0.3, and imagine that participants in the survey

indeed follow the randomized response procedure accurately and honestly. What is the

conditional probability that a randomly chosen student who answers "yes" to the survey

has in fact plagiarized?

Step 1

Given data

The response is always yes when tail occurs

Making tree diagram as per the question

Step 2

conditional probability that a randomly chosen student who answers ...

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