Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. customers arrive in a certain shop according to an

Customers arrive in a certain shop according to an approximate Poissonprocess on the average of two...

80.2K

Verified Solution

Question

Statistics

Customers arrive in a certain shop according to an approximatePoissonprocess on the average of two every 6 minutes.

(a) Using the Poisson distribution calculate the probability oftwo or more customersarrive in a 2-minute period.

(b) Consider X denote number of customers and X follows binomialdistribution withparametersn= 100. Using the binomial distributioncalculate the probability oftwo or more customers arrive in a2-minute period.

(c) Let Y denote the waiting time in minutes until the firstcustomer arrives. (i) Whatis the pdf ofY? (ii) Findq1=Ï€0.75

(d) Let Y denote the waiting time in minutes until the firstcustomer arrives. What isthe probability that the shopkeeper willhave to wait more than 3 minutes for thearrival of the firstcustomer ?

(e) What is the probability that shopkeeper will wait more than3 minutes before bothof the first two customers arrive?

Answer & Explanation Solved by verified expert
4.2 Ratings (509 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Finance
1.2K views

Case 2: By the end of each year, you contribute an equal amount of $3,300 per year...

Basic Math
1.2K views

1) Compared the lengths of the different Harry Potter movies and the Star Wars movies. Each...

Accounting
1.2K views

Why is a "pre-determined overhead rate" necessary when assigning manufacturing overhead cost to products? Why don't...

Basic Math
1.2K views

A bacteria culture initially contains 100 cells and grows at a rate proportional to its...

Basic Math
1.2K views

You roll a six-sided die. Find the probability of each of the following scenarios.(a) Rolling...

Calculus
1.2K views

Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet...

Algebra
1.2K views

Interpreting a Linear Equation Lewis invested some money in an account The balance in the...

Accounting
1.2K views

SC Hardy SRL has the following employees with the corresponding wages. Compute the social contributions...

Accounting
1.2K views

I need help with this question please. Thank you! ...

Accounting
1.2K views

Glass Giant Company manufactures sunglasses. Following is a list of costs the company incurred during...

Accounting
1.2K views

An accountant, Helena Boakye has been invited to carry out an engagement for a client,...

Accounting
1.2K views

A member of the board of directors is puzzled by the fact that the firm...