A poll asked 500 adults if they thought Ontario should produ

A poll asked 500 adults if they thought Ontario should produce more, produce less, or maintain current production of ethanol.

Suppose we select 3 people @ random from this sample.

a) What is the probability that all 3 responded \"Less ethanol production\"?

b) What assumption did you make in computing the probability above?

c) Why is that assumption reasonable?

Solution

a) What is the probability that all 3 responded \"Less ethanol production\"?
No. of response for \"Less ethanol production\" = 136
P( choosing 3 people under Less ethanol production ) = 136 C 3 / 500 C 3 = 0.01980

b) What assumption did you make in computing the probability above?
We assuming that people are chosen without replacement