Question

# It is known that a certain hockey goalie will successfully make a save 85.39% of the...

It is known that a certain hockey goalie will successfully make a save 85.39% of the time. Suppose that the hockey goalie attempts to make 15 saves. What is the probability that the hockey goalie will make at least 13 saves?

Let XX be the random variable which denotes the number of saves that are made by the hockey goalie. Find the expected value and standard deviation of the random variable.

E(X)=E(X)=
σ=

The probability that the hockey goalie will make at least 13 saves = 0.62128

E(X)= 12.809
σ= 1.368

 15 n 0.8539 p cumulative X P(X) probability 0 0.00000 0.00000 1 0.00000 0.00000 2 0.00000 0.00000 3 0.00000 0.00000 4 0.00000 0.00000 5 0.00001 0.00001 6 0.00006 0.00007 7 0.00044 0.00051 8 0.00258 0.00309 9 0.01175 0.01484 10 0.04120 0.05604 11 0.10945 0.16549 12 0.21323 0.37872 13 0.28759 0.66631 14 0.24013 0.90644 15 0.09356 1.00000 1.00000 12.809 expected value 1.871 variance 1.368 standard deviation

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