Find the mean of the binomial random variable. Round to two decimal places when necessary.
-On a multiple choice test with 6 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the mean for the random variable X, the
Number of correct answers.
A)4.5
B)3
C)1.5
D)2

Question

Find the mean of the binomial random variable. Round to two decimal places when necessary.
-On a multiple choice test with 6 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the mean for the random variable X, the
Number of correct answers. 
A)4.5
B)3
C)1.5
D)2

Quizplus · Accepted Answer

The mean of a binomial random variable is given by the formula μ = np, where n is the number of trials (in this case, 6 questions) and p is the probability of success on each trial (in this case, the probability of guessing a question correctly, which is 1/4 since there are four possible answers and only one is correct). Therefore, μ = 6 * (1/4) = 1.5.

Find the Mean of the Binomial Random Variable