A company has been running a television advertisement for one of its new products. A survey was conducted. Based on its results, it was concluded that an individual buys the product with probability 56%, if he/she saw the advertisement; and buys with probability 8%, if he/she did not see it. Twenty-five percent of people saw the advertisement. a) Plot a tree diagram with probability for the problem above. b) What is the probability that a randomly selected individual will buy the new product? c) What is the probability that at least one of randomly selected five individuals will buy the new product? *Help me solve this question with a detailed solution. Thank you in advance.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A company has been running a television advertisement for one of its new products. A survey was conducted. Based on its results, it was concluded that an individual buys the product with probability 56%, if he/she saw the advertisement; and buys with probability 8%, if he/she did not see it. Twenty-five percent of people saw the advertisement.

a) Plot a tree diagram with probability for the problem above.
b) What is the probability that a randomly selected individual will buy the new product?
c) What is the probability that at least one of randomly selected five individuals will buy the new product?

*Help me solve this question with a detailed solution. Thank you in advance.

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