SOLUTION: Your store finds that 5.5% of customers who click on your website go on to buy an item from your website. If 200 customers click on your site, state the distribution you would us

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Question 1168989: Your store finds that 5.5% of customers who click on your website go on to
buy an item from your website. If 200 customers click on your site, state the
distribution you would use and find the probability that at least 8 of them buy an item from your website.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
This is a binomial distribution (200, 0.055)
for at least 8 one could do this with a calculator by looking at 0-7 and adding those probabilities and subtracting from 1. (or p(8,9,10,...until too small to matter)
Alternatively could use normal approximation
mean=np=200*0.055=11
variance is np(1-p)=11*0.945=10.395
sd is sqrt(V)=3.22
Then at least 8 would be a normal distribution (11, 10.395)

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