Question 1206063
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A study reports that 56% of Americans support increased funding for public schools. 
If 5 Americans are chosen at random, what is the probability that:
a) All 5 of them support increased funding for public schools?
b) None of the 5 support increased funding for public schools?
c) At least one of the 5 support increased funding for public schools?
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<pre>
(a)  <U>ANSWER</U> :  P = {{{0.56^5}}} = 0.0551  (rounded).


(b)  <U>ANSWER</U> :  P = {{{(1-0.56)^5}}} = {{{0.44^5}}} = 0.0165  (rounded).


(c)  <U>ANSWER</U> :  P = 1 - {{{(1-0.56)^5}}} = 1 - {{{0.44^5}}} = 1 - 0.0165 = 0.9835  (rounded).
</pre>

Solved.


As the formulas are written, they explain everything.