(1) What probability model is appropriate for modelling the number of customers per week, and what value(s) should the parameter(s) have? (i) What is the probability of getting exactly 50 customers this week? (You don't need to simplify your answer.) (ii) The gap between customers (the length of time between one customer arriving and the next customer arriving) can be modelled as an exponential random variable with parameter value , = 1 hour. One customer just arrived. What is the probability of the next customer arriving in the next 30 minutes? (You don't need to simplify your answer.)
(1) What probability model is appropriate for modelling the number of customers per week, and what value(s) should the parameter(s) have? (i) What is the probability of getting exactly 50 customers this week? (You don't need to simplify your answer.) (ii) The gap between customers (the length of time between one customer arriving and the next customer arriving) can be modelled as an exponential random variable with parameter value , = 1 hour. One customer just arrived. What is the probability of the next customer arriving in the next 30 minutes? (You don't need to simplify your answer.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:(a) A small car repair company has, on average, eight customers per day. Consider the
number of new customers the company gets in a week (they are open Monday -
Saturday).
(1) What probability model is appropriate for modelling the number of customers per week,
and what value(s) should the parameter(s) have?
(i) What is the probability of getting exactly 50 customers this week? (You don't need to
simplify your answer.)
(ii) The gap between customers (the length of time between one customer arriving and
the next customer arriving) can be modelled as an exponential random variable with
parameter value i = 1 hour. One customer just arrived. What is the probability of the
next customer arriving in the next 30 minutes? (You don't need to simplify your
answer.)
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