Final answer:
The best prediction for the number of questions Amit will answer correctly on a 20-question multiple choice test with 4 options each is 5.
Step-by-step explanation:
The student in the question, Amit, is guessing on all 20 questions of his multiple choice test where each question has 4 answer options, and there is only one correct answer.
To predict the number of questions he will answer correctly, we calculate the expected value. Since there is a one in four chance of guessing any single question correctly, the expected value is calculated by multiplying the probability of a correct answer by the total number of questions.
The expected value for the number of correct answers is:
- Expected correct answers = Probability of guessing correctly × Total questions
- Expected correct answers = 1/4 × 20
- Expected correct answers = 5
Therefore, the best prediction for the number of questions that Amit will answer correctly is 5.