Program that accepts the number of darts as an input

Assignment Help Basic Computer Science

Reference no: EM131305075

Monte Carlo techniques can be used to estimate the value of pi. Suppose you have a round dart board that just fits inside of a square cabinet. If you throw darts randomly, the proportion that hit the dart board vs. those that hit the cabinet (in the corners not covered by the board) will be determined by the relative area of the dart board and the cabinet. If n is the total number of darts randomly thrown (that land within the confines of the cabinet), and h is the number that hit the board, it is easy to show that

Write a program that accepts the "number of darts" as an input and then performs a simulation to estimate π. Hint: you can use 2*random() - 1 to generate the x and y coordinates of a random point inside a 2x2 square centered at (0, 0). The point lies inside the inscribed circle if x² + y² ≤ 1.

Reference no: EM131305075

Questions Cloud

Analyze the legal rights and responsibilities of the tenant : Explore the legal rights and responsibilities of the tenant and the landlord. Decide whether or not the landlord and / or the tenant had a legal duty to mitigate damages.

Performs a simulation to estimate the probability of rolling : Suppose you take a random walk of n steps. On average, how many steps away from the starting point will you end up? Write a program to help you investigate this question.

Credit risk file based on different types of loans : Describe how to apply stratified sampling to sample from the Credit Risk file based on the different types of loans. Implement your process in Excel to choose a random sample consisting of 10% of the records for each type of loan.

What is a banks net interest margin : What is a T-account? Use a T-account to show the effect on Bank of America's balance sheet of your depositing $50 in currency in your checking account.

Program that accepts the number of darts as an input : Write a program that accepts the "number of darts" as an input and then performs a simulation to estimate π. Hint: you can use 2*random() - 1 to generate the x and y coordinates of a random point inside a 2x2 square centered at (0, 0). The point l..

Dividend policy can also be considered irrelevant : Modigliani & Miller show that dividend policy can also be considered irrelevant. Yet, unexpected increases in dividends are often closely followed by price increases, why? To clarify, when a firm pays a dividend the stock price should drop by the amo..

Why might banks shareholders want bank to be less leveraged : Why might the managers of a bank want the bank to be highly leveraged? Why might the bank's shareholders want the bank to be less highly leveraged?

How you would motivate the student to perform in class : Identify which of Maslow's need(s) each student is trying to fulfill. Explain how you would motivate the student to perform in class.

How the balance sheets of each bank will be affected : Suppose that Lena, who has an account at SunTrust Bank writes a check for $100 to José, who has an account at National City Bank.- Use T-accounts to show how the balance sheets of each bank will be affected after the check clears.

User Account

All Pages