Question 1072111
Out of 20 people selected randomly, no more than 3 will agree with the statement.  This means that at least 17 will DISAGREE with the statement. Since 40% agree with the statement, this leaves 60% who disagree--and the chances of 17 randomly chosen people doing so is .6^17, or 0.00016926659444736. The chance that 17 out of 20 people agreeing to disagree is 20 choose 17, or 1140, x 0.00016926659444736, or 0.1929639176699904. This gives us a 19.2964% probability that no more than 3 will agree with the statement.