1 A mobile valet service visits an office car park every Monday. It offers exterior-only washes and full valets. Purchases of exterior-only washes and full valets have independent Poisson distributions with means 7.2 and 4.1 respectively. li) Find the probabilities that, on any Monday la) exactly seven customers purchase exterior-only washes (b) at least two full valets are purchased lc) exactly seven customers purchase exterior-only washes and exactly three customers purchase full valets. liil Bu uein
1 A mobile valet service visits an office car park every Monday. It offers exterior-only washes and full valets. Purchases of exterior-only washes and full valets have independent Poisson distributions with means 7.2 and 4.1 respectively. li) Find the probabilities that, on any Monday la) exactly seven customers purchase exterior-only washes (b) at least two full valets are purchased lc) exactly seven customers purchase exterior-only washes and exactly three customers purchase full valets. liil Bu uein
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

Transcribed Image Text:1
A mobile valet service visits an office car park every Monday. It offers
exterior-only washes and full valets. Purchases of exterior-only washes
and full valets have independent Poisson distributions with means 7.2
and 4.1 respectively.
li)
Find the probabilities that, on any Monday
lal exactly seven customers purchase exterior-only washes
(b) at least two full valets are purchased
lc) exactly seven customers purchase exterior-only washes and
exactly three customers purchase full valets.
By using the distribution of the total number of customers, find the
probability that exactly ten customers use the mobile service on
any Monday.
liiil Given that exactly ten customers use the service on one Monday,
find the probability that exactly seven of them purchase exterior-
only washes.
(ii)
Telephone calls reach
21
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 4 steps with 4 images

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