(1) What probability model is appropriate for modelling the number of customers per week, and what value(s) should the parameter(s) have? (ii) What is the probability of getting exactly 50 customers this week? (You don't need to simplify your answer.) (i) 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.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.FOM: Focus On Modeling: The Monte Carlo Method
Problem 3P: Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if...
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(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.)
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.)
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.) 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.)
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