subject
Mathematics, 06.11.2019 21:31 delaneymaufroy29

The voters in california are voting for a new governor. of the voters in california, a propor-
tion p will vote for frank, and a proportion 1 - p will vote for tony. in an election poll, a
number of voters are asked for whom they will vote. let xi be the indicator random variable
for the event "the ith person interviewed will vote for frank." that is, xi = 1 if the ith
person interviewed will vote for frank, and xi = 0 if the ith person interviewed will not vote
for frank. a model for the election poll is that the people to be interviewed are selected in
such a way that the indicator random variables x1, are independent and have a ber(p)
distribution.
(a) suppose we use (average should have a line over the xn) xn to predict p. according to chebyshev's inequality, how large should n be (how many people should be interviewed) such that the probability that x
n is within 0: 2 of the "true" p is at least 0: 9? (hint. solve this rst for p = 1=2, and use the
fact that p(1 - p) < = 1/4 for all 0 < =p < =1.)
(b) answer the same question, but now (average) xn should be within 0.1 of p.
(c) answer the question from part (a), but now the probability should be at least 0.95.
(d) now compute the number n so that xn will be within 0.02 of p with probability 0: 95.
(this is often the standard level of accuracy for polling.)

ansver
Answers: 1

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 18:50, babyskitt
Determine if the function below is continuous. a. continuous b. not continuous, 1 hole c. not continuous, > 2 holes d. not continuous, 2 holes
Answers: 1
image
Mathematics, 21.06.2019 21:40, Casey7019
Asystem of linear equations contains two equations with the same slope. select all of the correct statements. i a. the system may have two solutions. - b. the system may have infinitely many solutions. c. the system may have one solution. o d. the system may have no solution. submit
Answers: 3
image
Mathematics, 22.06.2019 00:10, iwannabewinston
Which of the following expressions cannot be simplified to x – 2?
Answers: 1
image
Mathematics, 22.06.2019 01:10, journeyburks07
What is the angle measure, or angle of depression, between this bird and the bird watcher?
Answers: 1
You know the right answer?
The voters in california are voting for a new governor. of the voters in california, a propor-
...

Questions in other subjects:

Konu
Social Studies, 09.12.2020 03:40
Konu
Mathematics, 09.12.2020 03:40