Quiz_ Module 2 Homework
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358
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Industrial Engineering
Date
Feb 20, 2024
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5
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2/8/24, 3:17 PM
Quiz: Module 2 Homework
https://canvas.nd.edu/courses/90705/quizzes/48079/take?preview=1
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Module 2 Homework
This is a preview of the published version of the quiz
Started: Feb 8 at 3:15pm
Quiz Instructions
Please complete the following problems to demonstrate your mastery of topics covered in this module. Despite this being a Canvas "quiz", you may ask your professor for help on these questions. You will
have 2 attempts on these problems, and the average of the two attempts will be recorded as your score
for the assignment. Please note that questions may change between attempts, so read them carefully. If you are satisfied with your score after the first attempt, you do not need to complete the second
attempt.
Let X be the number of temper tantrums that a toddler has before lunchtime. The pmf
of X can reasonably be modeled by:
, 2 pts
Question 1
Determine the value of k that makes this a valid pmf.
2 pts
Question 2
2/8/24, 3:17 PM
Quiz: Module 2 Homework
https://canvas.nd.edu/courses/90705/quizzes/48079/take?preview=1
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Determine .
2 pts
Question 3
What is the expected number of temper tantrums from the toddler?
A company is trying to model customer churn. Churn is the likelihood for a customer
to cancel or not renew their subscription. From past experience, they know that 80%
of customers will churn within the year. They company just had 18 new customers
sign up today. Let X be the number of customers that have churned, from the 18, one
year from today.
1 pts
Question 4
What probability distribution best models the random variable, X?
Poisson(3.6)
Binomial(18,0.8)
Poisson(14.4)
2/8/24, 3:17 PM
Quiz: Module 2 Homework
https://canvas.nd.edu/courses/90705/quizzes/48079/take?preview=1
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Binomial(18, 0.2)
1 pts
Question 5
What is the support for the random variable, X?
2 pts
Question 6
What is the expected number of customers (out of the 18) that will churn this year?
2 pts
Question 7
What is the variance for the number of customers that will churn this year (out of the
18)? Give your answer to 2 decimal places.
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2/8/24, 3:17 PM
Quiz: Module 2 Homework
https://canvas.nd.edu/courses/90705/quizzes/48079/take?preview=1
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2 pts
Question 8
What is the probability that 16 customers will churn this year, out of the 18? Give
your answer to 4 decimal places.
In a small election, votes are cast according to a Poisson distribution with mean 6
votes per minute. We will call this random variable Y.
3 pts
Question 9
What is the probability that fewer than 2 votes will be cast in the next minute? Give
your answer to 4 decimal places.
2 pts
Question 10
What is the expected number of votes that will be cast in an hour?
2/8/24, 3:17 PM
Quiz: Module 2 Homework
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1 pts
Question 11
What is the support of the random variable, Y?
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