Question 1072111: It is believed that 40% of Americans believe the statement: business policy has too much power over our lives. 20 randomly selected people are surveyed. What is the probability that no more than 3 will agree with this statement?
Answer by jorel1380(3719)   (Show Source):
You can put this solution on YOUR website! 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.
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