Suppose that Charlie makes a free throw 0.82 on any one try. Assuming that this probability doesn’t change, find the chance that Charlie makes 4 out of the next seven free throws. Find the mean and standard deviation
Let "X=" the number of successful throws: "X\\sim Bin(n, p)."
Given "n=7, p=0.82, q=1-p=0.18."
i)
"=0.0922870936512"
ii)
"Var(x)=\\sigma^2=npq=7(0.82)(0.18)=1.0332"
"\\sigma=\\sqrt{\\sigma^2}=\\sqrt{1.0332}\\approx1.016464"
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