subject
Mathematics, 04.12.2019 01:31 jasmne4713

The ballot problem. in an election, candidate a receives n votes and candidate b receives m votes, where n> m. assuming that all of the (n+m)! /n! m! orderings of the votes are equally likely, let
pn, m
denote the probability that a is always ahead in the counting of the votes.(a) compute
p2,1,p3,1,p3,2,p4,1,p4,2,p4,3
. (b) find
pn,1,pn,2
. (b) find pn,1,pn,2.
(c) on the basis of your results in parts (a) and (b), conjecture the value of
pn, m
. (d) derive a recursion for
pn, m
in terms of
pn−1,m
and
pn, m−1
by conditioning on who receives the last vote.(e) use part (d) to verify your conjecture in part (c) by an induction proof on n+m.

ansver
Answers: 3

Other questions on the subject: Mathematics

image
Mathematics, 22.06.2019 02:00, lexhoangg
Now, martin can reasonably guess that the standard deviation for the entire population of people at the mall during the time of the survey is $1.50. what is the 95% confidence interval about the sample mean? interpret what this means in the context of the situation where 95 people were surveyed and the sample mean is $8. use the information in this resource to construct the confidence interval.
Answers: 3
image
Mathematics, 22.06.2019 02:30, jenaycasmall
Iwill give brainliest. give accurate answer, . suppose tommy walks from his home at (0, 0) to the mall at (0, 5), and then walks to a movie theater at (6, 5). after leaving the theater tommy walks to the store at (6, 0) before returning home. if each grid square represents one block, how many blocks does he walk?
Answers: 2
image
Mathematics, 22.06.2019 03:20, mya9859
What is an equation of the line that is perpendicular to y=-x+3 and passes through the point (4, 12)? enter your equation in the box. basic
Answers: 1
image
Mathematics, 22.06.2019 04:00, skaterwolf1317
Ms. aniston asked seven students in her class to collect pet food cans for a local animal shelter. the dot plot shows the number of food cans collected by each student. each dot represents one student. what is the median of the data set? a. 6 b. 9 c. 7 d. 8
Answers: 1
You know the right answer?
The ballot problem. in an election, candidate a receives n votes and candidate b receives m votes, w...

Questions in other subjects:

Konu
Mathematics, 06.12.2019 01:31