You take an exam that contains 20 multiple-choice questions. Each question has 4 possible options. You know the answer to 10 questions, but you have no idea about the other 10 questions so you choose answers randomly. Your score X on the exam is the total number of correct answers. Find the PMF of X. What is P(X > 15)?

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(3) You take an exam that contains 20 multiple-choice questions. Each question has 4 possible
options. You know the answer to 10 questions, but you have no idea about the other 10 questions
so you choose answers randomly. Your score X on the exam is the total number of correct
answers. Find the PMF of X. What is P(X > 15)?
The number of customers arriving at a grocery store is a Poisson random variable. On average 10
customers arrive per hour. Let X be the number of customers arriving from 10am to 11 : 30am.
What is P(10 < X < 15)?
(4)
Transcribed Image Text:(3) You take an exam that contains 20 multiple-choice questions. Each question has 4 possible options. You know the answer to 10 questions, but you have no idea about the other 10 questions so you choose answers randomly. Your score X on the exam is the total number of correct answers. Find the PMF of X. What is P(X > 15)? The number of customers arriving at a grocery store is a Poisson random variable. On average 10 customers arrive per hour. Let X be the number of customers arriving from 10am to 11 : 30am. What is P(10 < X < 15)? (4)
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