Show that the expected value of îN is p.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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Show that the expected value of pN is p.
Transcribed Image Text:Show that the expected value of pN is p.
Suppose you want to find out how many people support Policy X. A standard polling approach is to just ask N
many people whether or not they support Policy X, and take the fraction of people who say yes as an estimate of
the probability that any one person supports the policy. Suppose that the probability someone supports the policy
is p, which you do not know. Let pn be the number of people polled who supported the policy, divided by the total
number of people polled N.
Transcribed Image Text:Suppose you want to find out how many people support Policy X. A standard polling approach is to just ask N many people whether or not they support Policy X, and take the fraction of people who say yes as an estimate of the probability that any one person supports the policy. Suppose that the probability someone supports the policy is p, which you do not know. Let pn be the number of people polled who supported the policy, divided by the total number of people polled N.
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