1 in the game in exercise 6 letnbsppnbspnbspqnbsp 12, Ask an Expert

Statistics

1. In the game in Exercise 6, let p = q = 1/2 and M = 10. What is the probability that the gambler's stake equals M at least 20 times before it returns to 0?

2. Write a computer program which simulates the game in Exercise 6 for the case p = q = 1/2, and M = 10.

3. In de Moivre's description of the game, we can modify the definition of player A's fortune in such a way that the game is still a martingale (and the calcula- tions are simpler). We do this by assigning nominal values to the counters in the same way as de Moivre, but each player's current fortune is defined to be just the value of the counter which is being wagered on the next game. So, if player A has a counters, then his current fortune is (q/p)a (we stipulate this to be true even if a = 0). Show that under this definition, player A's expected fortune after one play equals his fortune before the play, if p /= q. Then, as de Moivre does, write an equation which expresses the fact that player A's expected final fortune equals his initial fortune. Use this equation to find the probability of ruin of player A.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91677382

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

Aprobability experiment consists of rolling a 6-sided die

A probability experiment consists of rolling a 6-sided die. What is the probability of rolling a number less than 6.

Lipto biomedic has credit sales of 740000 yearly with

Lipto Biomedic has credit sales of $740,000 yearly with credit terms of net 60 days, with an average collection period of 75 days. Lipto does not offer a discount for early payment. (Use 365 days in a year.) a-1. What i ...

Matterhorn inc had the following sales for the past six

Matterhorn, Inc. had the following sales for the past six months. Matterhorn collects its credit sales 30% in the month of sale, 60% one month after the sale, and 10% two months after the sale. Cash Sales Credit Sales Ja ...

Mort is to pay off a loan of 75000 with equal payments at

Mort is to pay off a loan of $75,000 with equal payments at the end of every month over 10 years (i.e., 120 months). The ANNUAL effective rate is 5%. Mort decides that he can actually manage to pay double the monthly pay ...

On average there are 30 of defects per square foot of

On average, there are 30% of defects per square foot of photographic paper. Assume independence. We examine 100 sheets of photographic paper. Find the probability of 0 defects in one sheet.

How do i figure a cusomers expected return when borrowing

How do I figure a cusomer's expected return when borrowing money? Example, the customer wants an investment that costs $100 and considers borrowing $80 for one year at 4.6% to help pay for the investment. What is the cus ...

The number of stomata tiny openings on the leaves of a

The number of stomata (tiny openings) on the leaves of a particular mutant of Arabidopsis (a common experimental plant) is known to be approximately normally distributed with mean 75 and variance 49. What is the probabil ...

Last year galaxy corp had 350000 of assets which is equal

Last year Galaxy Corp had $350,000 of assets (which is equal to its total invested capital), $475,000 of sales, $30,250 of net income, and a debt-to-capital ratio of 40%. The new CFO believes the firm has excessive fixed ...

Assumes the following probability pcustomer make a purchase

Assumes the following probability" P(customer make a purchase) = 0.300 P(Customer does not make a purchase) = 1-0.300 Compute the P(1purchase) and enter your answer in 3 decimal places.

How could legislation impact on operations within your

How could legislation impact on operations within your organisation in relation to innovation, project management, and operational planning? Briefly outline any relevant requirements (e.g. intellectual property, WHS).

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert