Question: You know that the probability of a randomly selected student will chea

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Question: You know that the probability of a randomly selected student will cheat on an exam is 1%. You also know that the probability of a randomly selected student wil cheat on an exam knowing that hisher fellow classmate is cheating on the exam s also selected student cheating on an exam and "his/her classmate is cheating on the exam? 1% which of the following is true about the event of the randomly A B C D None of the above They are mutually exclusive They are collectively exhaustive They are independent .0 O

Explanation / Answer

You know that the probability of a randomly selected student will cheat on an exam is 1%. You also know that the probability of a randomly selected student will cheat on an exam knowing that his/her fellow classmate is cheating on the exam is also 1%. Which of the following is true about the event of "the randomly selected student cheating on an exam" and "his/her classmate is cheating on the exam"?

Answer is C. They are independent.

This is beacuse of statistical independence.

If Pr (A|B) = Pr (A)

we say that A is statistically independent of B: whether B happens makes no difference to how often A happens.

Since

Pr (A B) = Pr (A|B) Pr (B),

if A is independent of B, then

Pr (A B) = Pr (A) Pr (B).

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