Distribution of maximum, (Distribution of

Distribution of maximum

Assignment Help Basic Statistics

Reference no: EM13983792

1. * (Distribution of Maximum). Suppose n numbers are drawn at random from f1; 2; ··· ;N g. What is the probability that the largest number drawn is a specified number k if sampling is (a) with replacement; (b) without replacement?

2. * (Poisson Approximation). One hundred people will each toss a fair coin 200 times. Approximate the probability that at least 10 of the 100 people would have obtained exactly 100 heads and 100 tails.

3. * (A Design Problem). You are allowed to choose a number n and then toss a fair coin ntimes. You will get a prize if you can get either seven or nine heads. What is your best choice of the numbern?

4. * (A Novel Way to Give a Test). A student takes a five-answer multiple-choice oral test. His grade is determined by the number of questions re- quired in order for him to get five correct answers. A grade of A is given if he requires only five questions; a grade of B is given if he requires six or seven ques- tions; a grade of C is given if he requires eight or nine questions; and he fails otherwise.

Suppose the student guesses independently at random on each question. What is his most likely grade?

Reference no: EM13983792

Questions Cloud

Domination of the minority : In a small town in Alaska, there are 60 Republicans and 40 Democrats. Ten are selected at random for a council. What is the probability that there will be more Democrats on the council than Republicans?

How does the companys culture fit into the picture : Business Level Strategy - Describe it with regard to the microprocessor market. What are the sources of Intel's long-term competitive advantage in the microprocessor business? How does the company's culture fit into the picture

Calculate the mean of the absolute difference : The number of earthquakes per year in Los Angeles of magnitude greater than 4 has a mean of .5 and that in Manila, Phillipines has a mean of 1. Find the pmf of the absolute difference between the number of earthquakes of magnitude greater than 4 i..

Explain the difference between authorization and consents : Explain the purpose of the MPI and how to correct MPI errors. Provide at least 2 specific examples of MPI errors, their possible causes, and explain how you would correct them.

Distribution of maximum : (Distribution of Maximum). Suppose n numbers are drawn at random from f1; 2; ··· ;N g. What is the probability that the largest number drawn is a specified number k if sampling is (a) with replacement; (b) without replacement?

How gas like hydrogen become solid while being super-heated : So the theory is that Jupiter has a super-heated solid and very dense core that is made up of hydrogen. How does a gas like hydrogen become a solid while being super-heated? Is it that the pressure is so much that the gas is compressed into a soli..

Discuss the issues of software piracy and explain it : Please discuss the issues of software piracy, the use of corporate computers for non-work related purposes, and electronic surveillance.

Plastic surgery : Need to write about "plastic surgery " to view it from sociological paradigm. Papers must include one paradigm (one only).

Applicants to fill the five positions : A certain firm is looking for five qualified engineers to add to its staff. If from past experience it is known that only 20% of engineers applying for a position with this firm are judged to be qualified, what is the probability that the firm will..

User Account

All Pages