Task 1: 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?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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me
Tools
Assignment 1 Prob x
ginomial TadeN
G G
☆ 中
Q O
111
120%
Task 1:
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?
Task 2:
All athletes at the Olympic games are tested for performance-enhancing steroid drug use. The
imperfect test gives positive results (indicating drug use) for 90°% of all steroid-users but also
Transcribed Image Text:me Tools Assignment 1 Prob x ginomial TadeN G G ☆ 中 Q O 111 120% Task 1: 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? Task 2: All athletes at the Olympic games are tested for performance-enhancing steroid drug use. The imperfect test gives positive results (indicating drug use) for 90°% of all steroid-users but also
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