A quiz consists of 40 multiple choice questions, each with five possible answers, only one of which is correct. If a student guesses on each question, what is the mean and standard deviation of the number of correct answers? Round to the nearest thousandth.

8 and 2.529

Step-by-step explanation:

The computation of the mean and the standard deviation is shown below:

Given that

Total number of questions is n =  40

The Probability of correct answer is p =  

So, the probability of the wrong answer is q =   =

Moreover, this is the binomial distribution

Based on the above information

The mean is

= 8

Now the variance is

=

So, the standard deviation is

= 2.529

hence, the mean and the standard deviation is 8 and 2.529 respectively

your answer is a

step-by-step explanation:

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