SOLUTION: It's known that a certain lacrosse goalie will successfully make a save 86.5% of the time. The goalie attempts to make 14 saves. A) What is the probability that the lacrosse g

Algebra ->  Probability-and-statistics -> SOLUTION: It's known that a certain lacrosse goalie will successfully make a save 86.5% of the time. The goalie attempts to make 14 saves. A) What is the probability that the lacrosse g      Log On


   

Question 1000390: It's known that a certain lacrosse goalie will successfully make a save 86.5% of the time. The goalie attempts to make 14 saves.
A) What is the probability that the lacrosse goalie will make at least 12 saves?
B) Let X be the random variable which denotes the number of saves that are made by the lacrosse goalie. Find the expected value and standard deviation of the random variable.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
It's known that a certain lacrosse goalie will successfully make a save 86.5% of the time. The goalie attempts to make 14 saves.
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Binomial Problem with n = 14 and p(save) = 0.865
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A) What is the probability that the lacrosse goalie will make at least 12 saves?
P(12<= x <=14) = 1 - P(0<= x <=11) = 1 - binomcdf(14,0.865,11) = 0.7092
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B) Let X be the random variable which denotes the number of saves that are made by the lacrosse goalie. Find the expected value and standard deviation of the random variable.
Expected value = mean = n*p = 14*0.865 = 12.11
std = sqrt(npq) = sqrt[12.11*0.135] = 1.28
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Cheers,
Stan H.
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