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.

12.04

Step-by-step 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