Answer:
The best prediction for the number of questions that Amit will answer correctly is 5.
Step-by-step explanation:
Each question can be considered as an independent Bernoulli trial. This implies that we have 20 independent trials.
Now, the probability of making a correct guess on each question is;
1/4. This is because we have 4 choices per question and only 1 is correct.
If we now let the random variable X denote the number of questions that Amit will answer correctly, then X is a Binomial random variable with parameters;
20 and 1/4.
The expected number of correct answers is simply the product of these two values;
20 * (1/4) = 5
Therefore, the best prediction for the number of questions that Amit will answer correctly is 5
