Question: A store has N clients per day, where the probability that N will be three is 0.1, that N will be two is 0.4, that

A store has N clients per day, where the probability that N will be

three is 0.1, that N will be two is 0.4, that N will be one is 0.3. The store never

gets more than three clients per day.

(a) Is N binomial? Poisson?

(b) Write the cumulative distribution function for N.

(c) What is the average number of clients per day?

(d) You want to study how many bags of milk each client buys. Half of them buy

two bags, a quarter buy 1 bag, and the rest buy none. Let X be the number of

bags of milk purchased on a given day. Are X and N independent?

(e) What is the probability that 5 bags will be purchased?

(f) What is the probability that there will be 3 clients and that 5 bags will be

purchased?

(g) What is the probability the 5 bags will be purchased given that there are three

clients?

(h) Find the probability function of X.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Hello Good evening Ma'am/sir. Please help me I promise to rate as HELPFUL and give a positive feedback. Thank you and God bless you all! :) I. Write the letter of the correct answer on the blank....

Q:

multiple choices I. Write the letter of the correct answer on the blank. Write E before the number if there is no answer. Use another sheet of paper for your solution. 1. Which of the following is...

Q:

Advanced: Selling price decision based on expected values and value of additional information Warren Ltd is to produce a new product in a short term venture which will utilize some obsolete materials...

Q:

You are a Business Management Consultant. a formal report for Josh and Niles on the current state of the business. The report must also recommend next steps Individual Project (Case Study) Individual...

Q:

Sinar TV maintains a stock of LED television that it sells to house owners and installs for them. The sales of the televisions for the past 60 days have the following probability distribution....

Q:

1. Which of the following are qualifying for the application of the Poisson probability distribution? For those are not, indicate which part of the condition of Poisson probability distribution does...

Q:

Du urte and the coming widerruidheachd at the further dets by the form 10. The of the two hours In under to determine the team in Oberarming comedor. There where the firm was 1900.660 un tre peste...

Q:

Question 1 (20 marks) Consider the following transportation tableau with three origins and three destinations To From Windhoek Gobabis Walvis Bay Supply Rundu 4 10 6 100 Oshakati 8 16 6 300 Katima...

Q:

For the following Markov models a) draw the transition diagram, if one is not provided; b) put the states in (some) order and write down the transition matrix; c) calculate the probability of the...

Q:

What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the...

Q:

1. In the movie Extraordinary Measures the character John Crowley (played by Brendan Fraser) has two children with Pompe disease. What is the nature of this disease? Why do the children have the...

Q:

1. Will the decision permit all those involved, especially the poor, to have enough resources on which to live and flourish? 2. Is there any aspect of the decision that indicates the presence of...

Q:

On March 1 5 , 2 0 2 4 , 1 0 . soid his Ciampett, Incorporated ( an 5 corporation ) shares to Elie Mae, Incorporated ip C corporation ) terminating Ciampett, Incorporated's 5 election on March 1 5 ,...

Q:

This is all of the details that I am given. Problem 1: Use the "plain vanilla" branch and bound, branch and bound with underestimates, and A* algorithm to get from start node (S) to the goal node (G)...