Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. a fair 6-sided die is rolled repeatedly. (a) find

A fair 6-sided die is rolled repeatedly. (a) Find the expected number of rolls needed to...

90.2K

Verified Solution

Question

Statistics

A fair 6-sided die is rolled repeatedly. (a) Find the expectednumber of rolls needed to get a 1 followed right away by a 2. Hint:Start by conditioning on whether or not the first roll is a 1. (b)Find the expected number of rolls needed to get two consecutive1’s. (c) Let an be the expected number of rolls needed to get thesame value n times in a row (i.e., to obtain a streak of nconsecutive j’s for some not-specified-in-advance value of j). Finda recursive formula for an+1 in terms of an. Hint: Divide the timeuntil there are n+1 consecutive appearances of the same value intotwo pieces: the time until there are n consecutive appearances, andthe rest. (d) Find a simple, explicit formula for an for all n ? 1.What is a7 (numerically)?

Answer & Explanation Solved by verified expert
3.8 Ratings (709 Votes)
    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

Biology
1.2K views

what use is the nitrogen fixed by the cyanobacteria to mankind?

Psychology
1.2K views

According to the presentation by Hans Rosling and Gap Minder, why should we \"not panic\" about...

Economics
1.2K views

List three specific things that would cause the demand for ride-share services (i.e., Uber or Lyft)...

Biology
1.2K views

oteins flippase and floppase only work on organelle membranes that are inside the cell they...

Physics
1.2K views

The thermodynamic state of a gas is changed from A to B If you are...

Basic Math
1.2K views

rep Quiz the sinking fund formula shown to the mulate 62 000

Basic Math
1.2K views

Vrite an equation of the line below 6 5 8 6 5 4 3 4...

Accounting
1.2K views

HANDOUT 4-1 ADJUSTING ENTRIES AND POSTING TO T-ACCOUNTS Prepare the required adjusting journal entry for...

Accounting
1.2K views

Calculator Incorporated tiene 100 000 calculadoras obsoletas que se mantienen en inventario a un costo...

Accounting
1.2K views

Le Company has the following information: Equipment was purchased for $78,000 on July 1, 2024....

Accounting
1.2K views

Please help with all parts. You have just been...

Accounting
1.2K views

The horizon problem in owner manager agency relationships can be reduced by: paying a bonus...