Write a program to toss a coin

Reference no: EM13970325

1. A fair coin is tossed 100 times. The expected number of heads is 50, and the standard deviation for the number of heads is (100 · 1/2 · 1/2)1/2 = 5. What does Chebyshev's Inequality tell you about the probability that the number of heads that turn up deviates from the expected number 50 by three or more standard deviations?

2. Write a program to toss a coin 10,000 times. Let Sn be the number of heads in the first n tosses. Have your program print out, after every 1000 tosses, Sn - n/2. On the basis of this simulation, is it correct to say that you can expect heads about half of the time when you toss a coin a large number of times?

Reference no: EM13970325

Questions Cloud

Write a computer program that implements betting system : Write a computer program that implements betting system. As stated above, your program must decide whether to bet on a particular outcome before that outcome is determined.

Develop an aggregate plan and input all values : Develop an aggregate plan and input all values below (you may use formulas as you wish):

How many tosses suffice to make us 95 percent sure : Does the Law of Large Numbers allow us to predict the proportion of heads that will turn up in the long run? After we have observed a large number of tosses, can we tell which coin was chosen? How many tosses suffice to make us 95 percent sure?

The market for cellular phone service : Marisol is new to town and is in the market for cellular phone service. She has settled on Wildcat Cellular, which will give her a free phone if she signs a one-year contract. Wildcat offers several calling plans. One plan that she is considering ..

Write a program to toss a coin : Write a program to toss a coin 10,000 times. Let Sn be the number of heads in the first n tosses. Have your program print out, after every 1000 tosses, Sn - n/2. On the basis of this simulation

Interactions caused by new entrants : Interactions caused by new entrants in an industry are a severe source of dynamism when the entrants introduce a strategy that varies significantly from those used by incumbents. true or false

What is the probability of getting heads on only one : You flip a coin three times. What is the probability of getting heads on only one of your flips? What is the probability of getting heads on at least one flip

What is the expected time for the first of bulbs to burn out : A company buys 100 lightbulbs, each of which has an exponential lifetime of 1000 hours. What is the expected time for the first of these bulbs to burn out?

Estimate cost of capital for diageo''s restaurant businesses : Diageo subtracts the value of its portfolio of short-term investments, which is held outside the United States and is not required to support day-to-day operations, from its total debt when calculating its "net debt ratio." Use Diageo's net debt r..

User Account

All Pages