Let a and b be integers chosen randomly

Assignment Help Business Management

Reference no: EM131248827

Cesàro estimate:-

Let a and b be integers chosen randomly. Show that the probability that gcd(a, b) = 1 is 6/π² using the following steps:

(a) Assume that the probability of gcd(a, b) = 1 is p. For any integer d it will happen that gcd(a, b) = d only if a and b are each multiples of d and gcd(a/d, b/d) = 1. Hence find the probability that gcd(a, b) = d in terms of p.

(b) Use the fact that sum of all those probabilities must be 1.

Reference no: EM131248827

Questions Cloud

How would you deal with noninteger results : In May, Sequoia hired 10 new employees to enter the training program, and this month, it hired 10 more. At the beginning of June, there were 120 experienced flight attendants and six instructors on Sequoia's staff.

Apply a single cycle of the method : If n is prime, the algorithm will declare PRIME. However, for general n, if PRIME is declared, there is a 1/4 probability that n is not actually prime. Apply a single cycle of the method to n = 5,009 using a = 3.

What makes scope creep particularly prevalent in it projects : How can a project scope management plan help manage the 3 project constraints of time, scope, and cost? What is the potential impact of changes to budgets, schedules, and deliverables if changes are allowed to occur after the project is approved?

Explain project management as a discipline : Describe the industries in which project managers are in high demand. Provide evidence to support your response. Describe the general role of a project manager, and explain the primary ways in which it differs across different industries. Compare the..

Let a and b be integers chosen randomly : Cesàro estimate:- Let a and b be integers chosen randomly. Show that the probability that gcd(a, b) = 1 is 6/π2 using the following steps:

Calculate the scheduling times es ls ef and lf : Calculate the scheduling times ES, LS, EF, and LF, and slack time TS for each activity. What are the critical path and project duration?

Which model you would choose for your curriculum design : Compare and contrast the strengths and weaknesses of their designs based on the accreditation and common core requirement standards. Determine which model you would choose for your curriculum .

Analyze proper physical access control safeguards : Suggest three (3) logical access control methods to restrict unauthorized entities from accessing sensitive information, and explain why you suggested each method. Analyze the means in which data moves within the organization and identify techniq..

Calculate the mean and variance of all activities : Assume the McWaffl e project above contained some uncertain activity times as shown below. Calculate the mean and variance of all activities, and determine the probability of completing the project within 20 days without crashing any activities.

User Account

All Pages