Question

A test consists of 580 true or false questions. If the student guesses on each​ question, what is the standard deviation of the number of correct​ answers? Round the answer to the nearest hundredth.

Answer 1

12.04

Explanation:

Because the questions are true and false, that is, there are only two answer options, therefore, you have a success probability = 1/2 = 0.5

The standard deviation can be calculated as follows:

Standard Deviation = (n*p* (1-p)] ^ (1/2)

replacing we have:

SD = (290 * (1-0.5)] ^ (1/2) = 12.04

That is, the standard deviation is 12.04