Question

1. A total of 100 toys, numbered 1 through 100, are put into 100 boxes, also...

1. A total of 100 toys, numbered 1 through 100, are put into 100 boxes, also numbered 1 through 100. They are placed in such a way that toy i is equally likely to go into any of the boxes 1, 2, . . . , 100. Find the expected number of boxes that are empty. Give a numerical answer as a reduced fraction or a decimal expression accurate to at least 4 decimal places.

Homework Answers

Answer #1

here n = k = 100

hence

expected number = 100 * (1 - 1/100)^100

= 100 * 0.99^100

= 36.6032

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
We randomly place 200 balls independently in 100 boxes in the most natural uniform way. That...
We randomly place 200 balls independently in 100 boxes in the most natural uniform way. That is, each ball is placed independently from the rest of the balls in such a way that the probability to put it into the i-th box is one-percent (1 ≤ i ≤ 100). Let X denote the number of empty boxes at the end. What is the expected value of X? I also want the numerical value.
In a certain state's lottery, 45 balls numbered 1 through 45 are placed in a machine...
In a certain state's lottery, 45 balls numbered 1 through 45 are placed in a machine and seven of them are drawn at random. If the seven numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order in which the numbers are drawn does not matter. Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction. PP(win) =    ...
ch 6 1: It is generally a good idea to gain an understanding of the "size"...
ch 6 1: It is generally a good idea to gain an understanding of the "size" of units. Consider the objects and calculate the kinetic energy of each one. A ladybug weighing 37.3 mg flies by your head at 3.83 km/h . ×10 J A 7.15 kg bowling ball slides (not rolls) down an alley at 17.5 km/h . J A car weighing 1260 kg moves at a speed of 49.5 km/h. 5: The graph shows the ?-directed force ??...
111.C.1: How Well Do I Respond to Turbulent Change? Instrument Listed to the right are a...
111.C.1: How Well Do I Respond to Turbulent Change? Instrument Listed to the right are a set of statements describing characteristics in a managerial job. If your job had these features, how would you react to them? Use the following rating scale for your answers: his feature would be very unpleasant for me This feature would be somewhat unpleasant for me I'd have no reaction to this feature one way or another; or it would be about equally enjoyable and...
Mattel Responds to Ethical Challenges Business Ethics This case was written by Debbie Thorne, John Fraedrich,...
Mattel Responds to Ethical Challenges Business Ethics This case was written by Debbie Thorne, John Fraedrich, O. C. Ferrell, and Jennifer Jackson, with the editorial assistance of Jennifer Sawayda. This case was developed for classroom discussion rather than to illustrate either effective or ineffective handling of an administrative, ethical, or legal discussion by management. All sources used for this case were obtained through publicly available material. Mattel, Inc. is a world leader in the design, manufacture, and marketing of family...
In 100 words state if you agree or disagree with the summary given for the Scenario....
In 100 words state if you agree or disagree with the summary given for the Scenario. PLEASE reframe from using Overuse of ambiguous terms such as it, this, and they should not be used. Scenario Part 1: Workplace unrest Environment: You are the Director of a team of employees that do various PA duties. The team consists of 15 employees that are assigned duties in different building locations and collocated with other PA personnel from other directorates in a matrix...
4) The correlation coefficient r is a sample statistic. What does it tell us about the...
4) The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ρ (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ρ yet. However, there is a quick way to determine if the sample evidence based on ρ is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of...
for the scenario below: 1) Apply the qualitative analysis by identifying at least 3 issues in...
for the scenario below: 1) Apply the qualitative analysis by identifying at least 3 issues in the above process. Analyse these issues by using a. Adding-value and Waste Analysis b. Issue register, If you find that there are more than three issues, you can focus on the three issues that have the highest impact. 2). Calculate the cycle time efficiency of the as-is process. You can assume a working week of 40 hours. In case there is missing information, you...
Gloria Zhang is 29 years old and is a Project Manager in Refits & Refurbishments, a...
Gloria Zhang is 29 years old and is a Project Manager in Refits & Refurbishments, a local company based in Singapore. The company specialises in leasing and renovating office and shop space to corporate and retail clients. One of her clients is DSB Banking, a German Bank, which is opening its first office and branch in Singapore in three months. The bank’s main activities are in the areas of Foreign Exchange and Money Market Trading and the provision of Investment...
Create an argument supporting that the requirements of SOX have reduced corporate fraudulent activity due to...
Create an argument supporting that the requirements of SOX have reduced corporate fraudulent activity due to the requirements placed on public accounting firms, thereby providing greater assurances to public users of financial information. Provide support for your argument. Evaluate the issues related to the audit of Satyam Computer Services Limited, indicating whether or not PWC followed auditing standards in rendering its audit opinion of the company. Provide support for your rationale. Assess whether PWC relied too heavily on the established...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT