An advertisement for brand A chicken noodle soup claims that 50% of all consumers prefer brand A over other brands, the chief competitor's product. To test this claim, David Horowitz, host of The Consumer Advocate, selected eight people at random from the audience. After tasting both soups, each person was asked to state his or her preference.

Assuming the company's claim is correct, find the probability (P1) that the company's claim was supported by the experiment; that is, four or more people stated a preference for brand A. Then find the probability (P2) the company's claim was not supported by the experiment; that is, fewer than four people stated a preference for brand A. Round your answers to three decimal places, if necessary.

P=______________
P=______________


0.637; 0.363

Mathematics

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