A student guesses on every question of a test that has 10 multiple-choice questi

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

Yes, this is a binomial distribution.

Because, the evens are independent to each other. Also, each trial has only two outcomes, either guessing right or wrong.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.