On a multiple choice test with 11 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the mean for the number of correct answers.

1/4 * 11 = ?

9.8

To find the mean for the number of correct answers on a multiple-choice test where students guess at all answers, we need to calculate the expected value.

The probability of guessing the correct answer for each question is 1 out of 4, or 1/4. Since there are 11 questions, the expected value is calculated as follows:

Expected value = (Number of questions) x (Probability of guessing the correct answer)

Expected value = 11 x (1/4)

Expected value = 11/4

Therefore, the mean for the number of correct answers is 11/4 or 2.75.

To find the mean for the number of correct answers on a multiple-choice test where students guess at all answers, we need to calculate the expected value.

The probability of guessing the correct answer for each question is equal to 1 divided by the number of possible choices, which in this case is 4. Therefore, the probability of guessing correctly on any given question is 1/4.

Since there are a total of 11 questions, we can calculate the expected value by multiplying the probability of guessing correctly on each question (1/4) by the number of questions (11).

Expected value = Probability × Number of questions
Expected value = (1/4) × 11
Expected value = 11/4
Expected value = 2.75

Therefore, the mean for the number of correct answers for students who guess at all answers is 2.75.