Question 1 In an optical shop, the optician has conducted a survey with his customers with a question “how many pairs of sunglasses do you have?”. The result shows that 30% of the interviewees have 1 pair of sunglasses, 15% of the interviewees have 2 pairs of sunglasses and 15% of the interviewees have more than 2 pairs of sunglasses. The other interviewees do not have any sunglasses. The shop is organizing a private sale and there will be 20 participants. Peter is assigned to take care of those participants who says that they do not have any sunglasses. (a) What is the probability that a participant does not have any sunglasses? (b) Most likely, how many participants in the private sale do not have any sunglasses? Calculate the probability of its happening. (c) Peter is asking for an assistant for the private sales. His application should be approved if the probability that there will be more than 4 participants in the private sale have no sunglasses is higher than 0.8. Would his application be approved? Explain your answer with calculation.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question

Question 1 In an optical shop, the optician has conducted a survey with his customers with a question “how many pairs of sunglasses do you have?”. The result shows that 30% of the interviewees have 1 pair of sunglasses, 15% of the interviewees have 2 pairs of sunglasses and 15% of the interviewees have more than 2 pairs of sunglasses. The other interviewees do not have any sunglasses. The shop is organizing a private sale and there will be 20 participants. Peter is assigned to take care of those participants who says that they do not have any sunglasses. (a) What is the probability that a participant does not have any sunglasses? (b) Most likely, how many participants in the private sale do not have any sunglasses? Calculate the probability of its happening. (c) Peter is asking for an assistant for the private sales. His application should be approved if the probability that there will be more than 4 participants in the private sale have no sunglasses is higher than 0.8. Would his application be approved? Explain your answer with calculation.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman