Assume that a hospitality company operates a hotel with 107 rooms on a particular day. Historically, the probability that a customer will show up for a randomly selected reservation is 97%. 1. Assume that all 107 rooms were booked. Let X be the number of reservations for which the customer showed up. a. Describe the distribution of X: X~? (n = = p= b. Find the probability that there will be available rooms at the end of the day, in other words, find the probability that not all customers will show up: P(X ≤ (Round the answer to 4 decimal places) c. Find the expected number of customers who show up for their room reservations: E[X] = [ (Round the answer to the whole number) d. Find the expected number of available rooms at the end of the day by subtracting the E[X] from the number of available rooms: (Round the answer to the whole number) 2. Assume that the hospitality company sells 2 more booking(s). Let Y be the number of reservations for which the customer showed up. a. Describe the distribution of Y: Y~? (n: く = p = b. Find the probability that more customers will show up than there are available rooms: P(Y> (Round the answer to 4 decimal places)
Assume that a hospitality company operates a hotel with 107 rooms on a particular day. Historically, the probability that a customer will show up for a randomly selected reservation is 97%. 1. Assume that all 107 rooms were booked. Let X be the number of reservations for which the customer showed up. a. Describe the distribution of X: X~? (n = = p= b. Find the probability that there will be available rooms at the end of the day, in other words, find the probability that not all customers will show up: P(X ≤ (Round the answer to 4 decimal places) c. Find the expected number of customers who show up for their room reservations: E[X] = [ (Round the answer to the whole number) d. Find the expected number of available rooms at the end of the day by subtracting the E[X] from the number of available rooms: (Round the answer to the whole number) 2. Assume that the hospitality company sells 2 more booking(s). Let Y be the number of reservations for which the customer showed up. a. Describe the distribution of Y: Y~? (n: く = p = b. Find the probability that more customers will show up than there are available rooms: P(Y> (Round the answer to 4 decimal places)
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman