A student randomly guesses on multiple choice exam (and hence independence between each question can be assumed). There are four questions, each question has five options. Let X be the random variable for the number of correct guesses. Write the distribution for X. >. Determine the probability of answering exactly 3 questions correctly. Determine the probability of answering at most 2 questions correctly. . Determine the expected number of correct guesses (long run average of the correct guesses), and the variance of number of correct guesses. 1 2 3 4

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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A student randomly guesses on multiple choice exam (and hence independence between each question can be
assumed). There are four questions, each question has five options. Let X be the random variable for the number of
correct guesses.
Write the distribution for X.
>. Determine the probability of answering exactly 3 questions correctly.
Determine the probability of answering at most 2 questions correctly.
. Determine the expected number of correct guesses (long run average of the correct guesses), and the
variance of number of correct guesses.
1
2
3
4
Transcribed Image Text:A student randomly guesses on multiple choice exam (and hence independence between each question can be assumed). There are four questions, each question has five options. Let X be the random variable for the number of correct guesses. Write the distribution for X. >. Determine the probability of answering exactly 3 questions correctly. Determine the probability of answering at most 2 questions correctly. . Determine the expected number of correct guesses (long run average of the correct guesses), and the variance of number of correct guesses. 1 2 3 4
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