A recent Fox News/Dynamic Opinion Poll reported that 57 % of registered American
ID: 3071056 • Letter: A
Question
A recent Fox News/Dynamic Opinion Poll reported that 57 % of registered American voters believe that the U.S. National Anthem should only be sung in English. Two registered American voters are randomly chosen. What is the probability that
(a) both feel the anthem should be sung in only in English?
(b) both do not hold the view the anthem should be sung only in English ?
(c) One more registered American voter is randomly chosen. How likely is it that none of the three American registered voters will agree that the U.S. National Anthem should only be sung in English?
Please provide detailed answers to three decimals.
Explanation / Answer
P(a registered American voters believe that the U.S. National Anthem should only be sung in English) = 0.57
P(a registered American voters does not believe that the U.S. National Anthem should only be sung in English) = 1 - 0.57 = 0.43
You can use the simple probability multiplication rule.
a) both feel the anthem should be sung in only in English?
0.57×0.57= 0.325
b) both do not hold the view the anthem should be sung only in English ?
0.43× 0.43= 0.185
c) One more registered American voter is randomly chosen. How likely is it that none of the three American registered voters will agree that the U.S. National Anthem should only be sung in English?
0.43 × 0.43 * 0.43=.080