Solve the following problems using linearity of expectation.

Assignment Help Basic Computer Science
Reference no: EM13158832

Solve the following problems using linearity of expectation. . (For each problem you will want to think about what the appropriate random variables should be and define them explicitly.)

(a) A coin with probability p of coming up heads is tossed independently n times. What is the expected number of maximal "runs", where a "run" is a maximal sequence of consecutive flips that are the same? For example, the sequence HHHTTHTHHH has 5 runs, the first three H, the following two T, and so on.

(b) A certain bubble gum company includes a picture card of a famous basketball player in each pack of bubble gum it sells. A complete set of cards consists of n players. Suppose that every pack you buy is equally likely to contain the picture of any of the n players. Let X be the random variable which is the number of packs you need to buy to have a complete set. What is E(X )? (Hint: think about representing X as the sum over i of the number of steps needed to go from having a set with i distinct players to i + 1 distinct players.)

 

 

Reference no: EM13158832

Questions Cloud

Eclipse or netbeans environments : As recommendation, you can try to use Eclipse or NetBeans environments that are used also for other courses as: Introduction in Java programming and Intermediate programming.
Describe the general secretory pathway : Describe the general secretory pathway in both a Gram positive and Gram negative cell.
Transportation costs incurred by a manufacturing company : Transportation costs incurred by a manufacturing company to ship its product to its customers would be classified as which of the following?
Transaction models for understanding communication : Explain the strengths and weaknesses of the transmission and transaction models for understanding communication by reviewing the theoretical process,
Solve the following problems using linearity of expectation. : Solve the following problems using linearity of expectation. . (For each problem you will want to think about what the appropriate random variables should be and define them explicitly.)
Calculate the ph of a 0.50 m aqueous solution of nh3 : Calculate the pH of a 0.50 M aqueous solution of NH3. The Kb for NH3 is 1.8 x 10-5.
Why might this be the right form for the new business : Respond to the question and to other students' postings. Consider the following when posting your responses: Why might this be the right form for the new business? What might some of the disadvantages be?
Marketing in a business industry : Differentiate between marketing in a business industry of your choice to marketing within the health care industry. Be sure to discuss the key roles, the impact of the external environment, etc. within each industry.
Explain how the structure of the digestive tract : Explain how the structure of the digestive tract in different invertebrate groups affects the size of the organisms they can eat.

Reviews

Write a Review

 

Basic Computer Science Questions & Answers

  Determine present worth-future worth of soldering machine

The initial cost is in week 0 and the payments are in years 1-4. Determine the present worth, future worth, and annual worth for.

  Show fetch-execute cycle for instruction that clears

Using the register operation's, show the fetch-execute cycle. Show the fetch-execute cycle for an instruction that clears A (i.e., sets A to 0).

  Describe operating model for business process integration

Describe the chosen operating model in terms of business process integration. Compare the selected organization to the sample organizations using the chosen operating model in terms of business process integration.

  Explaining dns zone in secure dynamic updates

If a DNS zone accepts only secure dynamic updates and the DHCP server is a member of the DnsUpdateProxy security group.

  Explaining data visualization form of business intelligence

Is data visualization a form of business intelligence? Describe why or why not? What security issues are related with data visualization?

  Apply yen''s algorithm to find the shortest path from node 1

Apply Yen's alogithm to find the shortest paqth from node 1 to all

  Activity diagram of each step of ordering pizza

Draw an activity diagram representing each step of the process; from the moment you pick up the phone to the point where you are eating the pizza.

  Confidentiality and integrity for transaction to secure

Make a list of at least 10 confidentiality, integrity, and availability requirements which should be met for transaction to be secure.

  Banner advertising on web sites trigger realization

Banner advertising on Web sites helps trigger realization that there is gap between reality and desired state which occurs in?

  Compare five technologies for in-home internet access

Compare and contrast at least five technologies which are readily available for in-home internet access. You must consider practical as well as technical differences in your comparison.

  Differences between technical and technology skills

Describe in scholarly detail differences between technical and technology skills as they associate to telecommunications and how they relate to general expectations

  Write statement which outputs num-cost to standard output

Write single statement which outputs num and cost to standard output. Print both values (num first, then cost), separated by a space on a single line.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd