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kondaur [170]
3 years ago
5

Brett golfs for the forestville knights high school team. When he practices his putting, he can make a 10-foot putt 80% of the t

ime. If Brett takes 200 putts for practice, what is the standard deviation of the number of putts he will make?
Mathematics
1 answer:
balu736 [363]3 years ago
4 0
The formula to calculate standard deviation from probability is \sqrt(n*p*(1-p)). n is the sample size, and 200 in this case (number of putts for practice). p is 80% or 0.8, the probability that he can make it. So the standard deviation is \sqrt(200*0.8*(1-0.8)=\sqrt(200*0.8*0.2)=\sqrt(16)=4.
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It is important to know that the variance has the same value as the mean in a Poisson distribution. The standard deviation is the square root of the variance.

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To help our solution, i am going to find each of P(X = x) from x = 0 to 8[/tex]

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---------

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(d) What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation

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P(4 < X \leq 6) = P(X = 5) + P(X = 6) =  0.1563 + 0.1042 = 0.2605

6 0
3 years ago
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