Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. sally plays a game and wins with probability p. ev

Sally plays a game and wins with probability p. Every week, she plays until she wins...

60.1K

Verified Solution

Question

Statistics

Sally plays a game and wins with probability p. Every week, sheplays until she wins two games, and then stops for the week. Sallycalls it a \"lucky week\" if she manages to achieve her goal in 7 orless games.

a) If p = 0.2, what's the probability that Sally will have a\"lucky week\" next week?

b) What's the probability of exactly 3 \"lucky weeks\" in the next5 weeks? What's the expected number of \"lucky weeks\" Sally willhave in the next 10 weeks?

c) Let X be the number of games Sally plays in a week, and let q= 1 – p. Find the expectation E[X].

d) If Sally pays $1 to play each game, and gets $5 for each gameshe wins, what's her expected earning at the end of each week?

Answer & Explanation Solved by verified expert
3.8 Ratings (509 Votes)
Answer dIf Sally is expected to play 10 games and she pays 1    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

Algebra
1.2K views

10 1 point Solve the equation Round to four decimal places e 8 0 3010...

Finance
1.2K views

Consider a project to supply Detroit with 27,000 tons of machine screws annually for automobile production....

Calculus
1.2K views

Determine the convergence or divergence of the sequence {a}. an=3n+ n-1/5n +n + 1 ...

Algebra
1.2K views

A C A C A C 10 x5 x 6x x 6x5 11 12 A...

Accounting
1.2K views

Can anyone answer journal entries10 through 20. Question The Balance Sheets of...

Accounting
1.2K views

Please match the following items: Ability to subcontract control test Ownership of tools Financial risk...

Accounting
1.2K views

[The following information applies to the questions displayed below.] Vail Resorts, Inc., owns...

Accounting
1.2K views

Q3: Choose correct answer and show calculation: 1. Khaled Corporation accounts for its 40% investment...

Accounting
1.2K views

By what date must the value of all noncash benefits be determined for the preceding...

Finance
1.2K views

Compute monthly returns for the stock by using the bellow equation. (b) Plot a histogram...

Finance
1.2K views

3- A start-up company with technology products established a goal of making a ...

Finance
1.2K views

Project L requires an initial outlay at t = 0 of $61,597, its expected cash...