9. A study has shown that the probability distribution of X, the number of customers in line (including  the one being served, if any) at a checkout counter in  a department store, is given by: P(X=0)= 0.25   P(X=3)= 0.2 P(X=1)= 0.25   P(X>=4) 0.1 P(X=2)= 0.2         Consider a newly arriving customer to the checkout line.   a.What is the probability that this customer will not  have to wait behind anyone?   b.What is the probability that this customer will have to  wait behind at least one customer?   c. On average, the newly arriving customer will have to  wait behind how many other customers?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 61CR
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9. A study has shown that the probability distribution of X, the number of customers in line (including  the one being served, if any) at a checkout counter in  a department store, is given by:

P(X=0)= 0.25   P(X=3)= 0.2
P(X=1)= 0.25   P(X>=4) 0.1
P(X=2)= 0.2      

 

Consider a newly arriving customer to the checkout line.  

a.What is the probability that this customer will not  have to wait behind anyone?  

b.What is the probability that this customer will have to  wait behind at least one customer?  

c. On average, the newly arriving customer will have to  wait behind how many other customers? 

 

Expert Solution
Step 1

Given,

P(X=0)= 0.25   P(X=3)= 0.2
P(X=1)= 0.25   P(X>=4) 0.1
P(X=2)= 0.2      

 

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