SOLUTION: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 30% of this population prefers the color red. If 18 buyers are randomly selected, wh

Algebra ->  Probability-and-statistics -> SOLUTION: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 30% of this population prefers the color red. If 18 buyers are randomly selected, wh      Log On


   

Question 1140271: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 30% of this population prefers the color red. If 18 buyers are randomly selected, what is the probability that at least 1 buyer would prefer red? Round your answer to four decimal places.
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
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The complement probability is that NO ONE buyer of 18 would prefer the red color, and it is  %281-0.3%29%5E18 = 0.7%5E18 = 0.001628.


Hence, the probability under the question is  1 - 0.001628 = 0.9984 = 99.84%.