1. A student is given an exam with 15 multiple choice questions. For each questi

Question

1. A student is given an exam with 15 multiple choice questions. For each question, the student is to select the best answer from among 5 multiple choices. Let X denote the number of questions answered corectly on the exam by the student.

(a) Suppose the student is randomly selecting answers to the multiple choice questions. Circle the name for the probability distributions of the random variable X.

i. Chi-squared

ii. Normal

iii. Binomial

iv. Gaussian

(b) What values of X are consistent with the belief that the student is randomly selecting the answers on the exam? Explain.

(c) What values of X suggest that the student studied for the exam? Explain.

Explanation / Answer

Ans 1. (iii) binomial

Ans 2. possible value of Xis Zero and one because student choose the ans whether the option is correct or not

Ans 3 possible value of X=1 suggest that he studied well for exam and ans given by him are mostly correct

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