Question: A red dot is placed randomly on a circle of unit perimeter. If you cut the perimeter of the circle twice, you obtain two pieces,

A red dot is placed randomly on a circle of unit perimeter. If you cut the perimeter of the circle twice, you obtain two pieces, one of which will contain the dot.

What is the expected value of the length of the piece with the dot?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Elementary Probability For Applications Questions!

Problem 1 (2 points) There has been an increasing amount of attention on supplementing America's power grids with solar panels and wind turbines to provide sources of renewable energy. However,...

CALCULUS WORKSHEET ON OPTIMIZATION Work the following on notebook paper. Write a function for each problem, and justify your answers. Give all decimal answers correct to three decimal places. 1. Find...

*solve the attached4 questions. 15. Let /(x) =e-2' (a) Find any horizontal and vertical asymptotes of f(r). (b) Find the intervals where f(7) is increasing and the intervals where f (7) is...

Describing Data Once we have collected data from surveys or experiments, we need to summarize and present the data in a way that will be meaningful to the reader. We will begin with graphical...

270 Chapter 4 Applications of Derivatives c. What is the largest area the rectangle can have, and what are its dimensions? 12. Find the volume of the largest right circular cone that can be in- X...

y X X A rancher has 600 feet of fencing with which to construct adjacent, equally sized rectangular pens as shown in the figure above. What dimensions should these pens have to maximize the enclosed...

SHOW WORK ON ALL FREE RESPONSE. QUESTION 1 is equivalent to , where s 0 and t 0. True Fals e 2 points 1. QUESTION 2 A recipe for a strawberry smoothie requires 1 cup of sugar for every 2 cups of...

1. Referring to the data in Exhibit 5, is the process capable of meeting GME's internal wire-bond strength requirement of at least seven grams? Use Cpk in explaining your answer. 2. Referring to the...

CHALLENGING don't know who to ask , Problem with code below, instructions : Lets make a video game. Have you ever played whack-a-mole? Well, say hello to the new HIT GAME that EVERYONE will want to...

Jones & Bartlett Learning, LLC. NOT FOR RESALE OR DISTRIBUTION CHAPTER Hot Spot Analysis 10 LEARNING OBJECTIVES C A R R Provide a working definition of a \"hot spot.\" , Be able to explain different...

This question asks you to write MATLAB code to generate interesting fractal patterns. A fractal is defined as a never-ending pattern that repeats itself at different scales and exhibits a property...

Dirk Dirkinson, General Manager of SuperSalty Potato Chips , was worried about the increasing intensity of competition in his industry. A strong economy had created greater consumable income for his...

Find the indefinite integral. (Use C for the constant of integration.) 26 [(tan(x))6 (sec(x))2 dx

Which of these files would be considered Master files, or Lookup files, in which the data remain relatively stable across time periods? Which would be considered transaction files, associated with a...

Calculate the equilibrium constant for the reaction H2 2H at a temperature of 2000 K, using properties from Table A.9. Compare the result with the value listed in Table A.11.