Suppose that you and your friend go to a concert in Long Beach. You know that 1 in 200 of the people at the concert will go to UCI (probability of 0.005). You speak to around 50 different people (other than your friend) while you are at the concert.
Suppose that you and your friend go to a concert in Long Beach. You know that 1 in 200 of the people at the concert will go to UCI (probability of 0.005). You speak to around 50 different people (other than your friend) while you are at the concert.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Need answers to G and H
![2. Suppose that you and your friend go to a concert in Long Beach. You know that 1 in 200 of the people
at the concert will go to UCI (probability of 0.005). You speak to around 50 different people (other than
your friend) while you are at the concert.
Let X be the number of people you spoke to that also go to UCI.
(a) What is the distribution of X?
(b) Write the pmf f(x) and describe its parameters.
(c) What key assumptions about the people that you spoke to are needed to determine this distribution?
(d) What is the expected number of people you speak to that also go to UCI?
(e) What is the probability that exactly 3 of the people you speak to go to UCI. Round your answer
to 3 sig. fig.
(f) What is the probability that you speak to at most 10 people from UCI? (round to 3 decimal places
or write an integer as necessary)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f7b339a-5be8-4a61-96ee-9694aa84ae28%2F66217263-d44d-4a58-9e73-cff852b51fb7%2Flw9g75h_processed.png&w=3840&q=75)
Transcribed Image Text:2. Suppose that you and your friend go to a concert in Long Beach. You know that 1 in 200 of the people
at the concert will go to UCI (probability of 0.005). You speak to around 50 different people (other than
your friend) while you are at the concert.
Let X be the number of people you spoke to that also go to UCI.
(a) What is the distribution of X?
(b) Write the pmf f(x) and describe its parameters.
(c) What key assumptions about the people that you spoke to are needed to determine this distribution?
(d) What is the expected number of people you speak to that also go to UCI?
(e) What is the probability that exactly 3 of the people you speak to go to UCI. Round your answer
to 3 sig. fig.
(f) What is the probability that you speak to at most 10 people from UCI? (round to 3 decimal places
or write an integer as necessary)
![(g) Now assume that you go to a concert where there are so many people that you will never speak to
them all during the time of the concert, so we can think of there being an infinite number of people
to speak to (because you won't run out of people). You keep speaking to new people until you find
a fellow Anteater, "Zot Zot". We can call the number of people that you speak to before you speak
to a fellow Anteater Z. What is the distribution of Z?
(h) Using the scenario from part (g), what is the probability that you do NOT speak to anyone from
UCI in the first 150 people that you speak to? Round your answer to 3 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f7b339a-5be8-4a61-96ee-9694aa84ae28%2F66217263-d44d-4a58-9e73-cff852b51fb7%2F57nq7f5_processed.png&w=3840&q=75)
Transcribed Image Text:(g) Now assume that you go to a concert where there are so many people that you will never speak to
them all during the time of the concert, so we can think of there being an infinite number of people
to speak to (because you won't run out of people). You keep speaking to new people until you find
a fellow Anteater, "Zot Zot". We can call the number of people that you speak to before you speak
to a fellow Anteater Z. What is the distribution of Z?
(h) Using the scenario from part (g), what is the probability that you do NOT speak to anyone from
UCI in the first 150 people that you speak to? Round your answer to 3 decimal places.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman