A student guesses on every question of a test that has 10 multiple-choice questi
ID: 3126404 • Letter: A
Question
A student guesses on every question of a test that has 10 multiple-choice questions (each with five choices) and 10 true-false questions. A student’s guess on any question is independent of the guess he/she made on any other question. Suppose X represents the number of questions on the test that a student who is guessing on every question gets right. Is a Binomial Distribution an appropriate model for this discrete random variable X? Why or why not? Check the requisite conditions: Randomization, Independence, 10% Condition, Fixed Number of Trials, Two Outcomes per Trial.
Explanation / Answer
Randomization: Since student guesses each answer so every answer will be random.
Independence: Each question is independent from each other.
Since there are two types of questions: Multiple choice questions with probability of right guess is 1/5. and other true/false questions with probability of right guess is 1/2. That is probability from one trial to other is not constant. So it is not a binomial distribution.
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