A student randomly guesses on multiple choice exam (and hence independence between each question can be assumed). There are five questions, each question has five options. Let XX be the random variable for the number of correct guesses. 1.Write the distribution for XX. 2.Determine the probability of answering exactly 3 questions correctly. 3. Determine the probability of answering at most 2 questions correctly.

A student randomly guesses on multiple choice exam (and hence independence between each question can be assumed). There are five questions, each question has five options. Let XX be the random variable for the number of correct guesses. 1.Write the distribution for XX. 2.Determine the probability of answering exactly 3 questions correctly. 3. Determine the probability of answering at most 2 questions correctly.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Q4.A student randomly guesses on multiple choice exam (and hence independence between each question can be assumed). There are five questions, each question has five options. Let XX be the random variable for the number of correct guesses.

1.Write the distribution for XX.

2.Determine the probability of answering exactly 3 questions correctly.

3. Determine the probability of answering at most 2 questions correctly.

4. Determine the mean and variance of XX.

Thank you very much

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