The probability that you will be satisfied with 3 or more of the purchased products is 0.916
Given that,
The chance of being pleased with an internet purchase is 0.555. if you purchase 8 items online
Solution -
let X denote the no of success of
Purchased product online
X ~ B(n,p)
n = 8
P= 0. 555
a = 1 - 0 .555 = 0.445
P ( X = x) = [tex]nc_{x} b^{x} a^{n-x}[/tex]
P ( X = x)= [tex]8c_{x} (0.555^{x} )(0.445)^{8-x[/tex]
P ( X>=3)= [tex]\lim_{3 \to 8} 8c_{x} (0.555^{x} )(0.445)^{8-x[/tex]
P ( X>=3)) = 0.91614
=0.916
Therefore we can coclude the probability that you will be satisfied with 3 or more of the purchased products is 0.916
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