SOLUTION: Approximately 60% of all small businesses in Canada have a web site. 8 small businesses were randomly selected to see how many of them have a website. Assume a binomial distributio

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Question 1166419: Approximately 60% of all small businesses in Canada have a web site. 8 small businesses were randomly selected to see how many of them have a website. Assume a binomial distribution for the following questions.
Round all final answers to 3 decimal places.
(a) What is the number of independent trials?
(b) What is the probability of success during one independent trial?
(c) What is the probability that exactly 5 of the businesses will have a website?
(d) What is the probability that at least one of the businesses has a website?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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(a)  8.



(b)  60%,  or  0.6.



(c)  C%5B8%5D%5E5%2A0.6%5E5%2A%281-0.6%29%5E%288-5%29 = %28%288%2A7%2A6%29%2F%281%2A2%2A3%29%29%2A0.6%5E5%2A0.4%5E3 = 0.278692.



(d)  It is the complement probability to the event that NO ONE of the businesses has a website.

     This complementary probability is  1 - 0.4%5E8 = 0.999345.

Solved.     //   All questions are answered.

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To see many other solved problems on binomial distribution, see the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.