SOLUTION: Can you please help me with this question. Question 2. Approximately 60% of all small businesses in Canada have a web site. 9 small businesses were randomly selected to see how

Algebra ->  Probability-and-statistics -> SOLUTION: Can you please help me with this question. Question 2. Approximately 60% of all small businesses in Canada have a web site. 9 small businesses were randomly selected to see how       Log On


   

Question 1186144: Can you please help me with this question.
Question 2.
Approximately 60% of all small businesses in Canada have a web site. 9 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 6 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(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
Can you please help me with this question.
Question 2.
Approximately 60% of all small businesses in Canada have a web site.
9 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 6 of the businesses will have a website?
(d) What is the probability that at least one of the businesses has a website?
~~~~~~~~~~~~~~~~~ 

(a)  9.


(b)  60%, or 0.6.


(c)  Use the formula for binomial probability


         P = C%5B9%5D%5E6%2A0.6%5E6%2A%281-0.6%29%5E%289-6%29 = %28%289%2A8%2A7%29%2F%281%2A2%2A3%29%29%2A0.6%5E6%2A0.4%5E3 = 0  .2508.    ANSWER



(d)  The probability that NO ONE of 9 businesses has a web-site is  0.4%5E9 = 0.000262.


     The probability that AT LEAST ONE of 9 businesses has a we-site is the COMPLEMENT to it


        P = 1 - 0.4%5E9 = 1 - 0.000262 = 0.99974 = 99.974%   (rounded).     ANSWER

Solved.     All questions are answered.