If 101 items are distributed among 10 boxes, then at least one of the boxes must contain

Question:

If 101 items are distributed among 10 boxes, then at least one of the boxes must contain more than 10 items. Use the probabilistic method to prove this result.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course In Probability

ISBN: 9789332519077

9th Edition

Authors: Sheldon Ross

See More Books

Question Posted: Oct 22, 2015 03:00 AM

See More Questions

In some problems of occupancy theory we are concerned with the number of ways in which certain indistinguishable objects can be distributed among individuals, urns, boxes, or cells with at least one...
The first two items of this question are review. (a) Prove that the composition of one-to-one maps is one-to-one. (b) Prove that if a linear map is not one-to-one then at least one nonzero vector...
Show that if is an elementary matrix, then at least one entry in the third row must be a zero. 00c 3 10
Consider Southeast Home Care, which is a for-profit business. In 2020, its net income was $1,500,000 and it distributed $500,000 to owners in the form of dividends. Its beginning-of-year equity...
The number of observers in the Frogwatch USA program (a wildlife conservation program dedicated to helping conserve frogs and toads) for the top 10 states with the most observers is 484, 483, 422,...
A new 10,000~square-meter warehouse next door to the Tyre Corporation is for sale for $450,000. The terms offered are $100,000 down with the balance being paid in 60 equal monthly payments based on...
Suppose that in the maintenance of a large medicalrecords file for insurance purposes the probability of an error in processing is 0.0010, the probability of an error in filing is 0.0009, the...
The Nutrex Corporation wants to calculate its weighted average cost of capital. Its target capital structure weights are 40 percent long-term debt and 60 percent common equity. The before-tax cost of...
what will this code print out? 123456ROGDENE 7 8 9 10 11 1 public class TraceIf { public static void main(String[] args) { int var1 = 52; var1 %= 5; if (var1 == 0) { System.out.println("Hello"); }...
Starting with toluene, outline a synthesis of each of the following: (a) m-Chlorobenzoic acid (b) p-Methylacetophenone (c) 2-Bromo-4-nitrotoluene (d) p-Bromobenzoic acid (e)...
If X1, X2, . . . ,Xn are independent and identically distributed random variables having uniform distributions over (0, 1), find (a) E[max(X1, . . . ,Xn)]; (b) E[min(X1, . . . ,Xn)].
The k-of-r-out-of-n circular reliability system, k r n, consists of n components that are arranged in a circular fashion. Each component is either functional or failed, and the system functions if...
Giolito Company sells equipment on August 31,2025 , for $\$ 20,000$ cash. The equipment originally cost $\$ 60,000$ and as of January 1,2025 , had accumulated depreciation of $\$ 38,000$....
Maria sat in the bright sunshine on the patio of her favourite Montreal deli waiting for her friend to join her for lunch. While waiting, she thought about her career options. Maria had finished her...
The decline in unit costs of a product or service that occurs as the absolute volume of production increases is known as __________. A. production effectiveness B. effective operations management C....
What is an inverse relationship? How does it graph? What is a direct relationship? How does it graph?
The intensity of rivalry among firms in an industry is dependent on __________. A. concentration of competitors B. high fixed or storage costs C. high exit barriers D. all of the above
Assess the industry attractiveness for the industry that Songkick, the subject of the You Be the VC 1.2 feature, will be participating in. YOU BE THE VC 1.2 Company: Songkick Web: www.songkick.com...
Max Company reports net income of $140,000 each year and declares an annual cash dividend of $50,000. The company holds net assets of $1,200,000 on January 1, 2023. On that date, Eden Company...
An 8.0 kg crate is pulled 5.0 m up a 30 incline by a rope angled 18 above the incline. The tension in the rope is 120 N, and the crates coefficient of kinetic friction on the incline is 0.25. a. How...
Refer to Exercise 7.30. Suppose that there are two machines available for cutting corks. The machine described in the preceding problem produces corks with diameters that are approximately normally...
A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the variable x 5 actual capacity of a randomly selected tank has a distribution that is well approximated by a...
The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 120 seconds and a standard...
Help Yourself (H Y) was incorporated as a not-for-profit education organization with a December 31 year-end. HY reports to a government agency that requires audited annual financial statements to be...
Forecasted cash receipts and expenditure for Elvira Trading for the period August to October are as follows: Cash Receipts Expenditure $ $ July 60,000 August 54000 58,000 September 68,000 30,000...
What is the market structure? give an example and the characteristics of each type of structure.

If 101 items are distributed among 10 boxes, then at least one of the boxes must contain

Question:

Step by Step Answer:

Let X denote the number of items in a randomly cho...View the full answer

A First Course In Probability

Students also viewed these Statistics questions