On a multiple choice test with 15 questions, each question has four possible answers, one of which is correct. for students who guess at all answers, find the variance for the number of correct answers. round to the nearest tenth.

The variance for the number of correct answers is 2.8 questions

Step-by-step explanation:

The number of correct answers follows binomial distribution, in which we have:

So, the variance for a variable x that follows a Binomial distributions is:

V(x)=n*p*(1-p)

Then, the variance for the number of correct answers is:

V(x)=15*(1/4)*(3/4) = 2.8125 ≈ 2.8

Because n is equal to 15, p is equal to 1/4 and (1-p) is equal to 3/4.

215.92 dollars is the answer