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
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Chapter1: Starting With Matlab
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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
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
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