A problem on a multiple-choice quiz is answered correctly with probability 0.92

Question

A problem on a multiple-choice quiz is answered correctly with probability 0.92 if a student is prepared An unprepared student guesses between 3 possible answers, so the probability of choosing the right answer is 1/3. 60% of students are prepared for the quiz. If a student gives a wrong answer this problem, what is the probability that he is not prepared for the quiz? The probability that a computer crashes during a severe thunderstorm is 0.002. A certain company had 700 working compeers when the area by a severe thunderstorm. Compute the probability that exactly 2 computers crashed.

Explanation / Answer

3. This is an example of binomial distribution with p=0.002 and n=700

P(x=2)=ncx p^x(1-p)^n-x

Using online calculator we get P(x=2)=0.00007

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