91 of Dr Williams patients end up with 2030 vision or better

91% of Dr. William\'s patients end up with 20-30 vision or better. Find the probability that exactly 4 of her next 6 patients with 20-30 vision or better .

Given X follows Binomial distribution with n=6 and p=0.91

P(X=x)=6Cx*(0.91^x)*(0.09^(6-x)) for x=0,1,2,...,6

So the probability is

P(X=4)=6C4*(0.91^4)*(0.09^(6-4)) =0.0833

$91% of Dr. William\'s patients end up with 20-30 vision or better. Find the probability that exactly 4 of her next 6 patients with 20-30 vision or better . Sol$

91 of Dr Williams patients end up with 2030 vision or better

Solution

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