The probability that the San Jose Sharks will win any given game is 0.3694 based

tabita57i

tabita57i

Answered question

2021-09-19

The probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1034 games played (as of a certain date). An upcoming monthly schedule contains 12 games.
What is the probability that the San Jose Sharks win 5 games in that upcoming month? Let X= number of games won in that upcoming month. (Round your answer to four decimal places.)

Answer & Explanation

Jayden-James Duffy

Jayden-James Duffy

Skilled2021-09-20Added 91 answers

Step 1 - Writing given data
Given that
San Jose sharks will win any given game is 0.3694
P=0.3694
(1P)=10.3694=0.6306
The upcoming month schedule contains 12 games . (n)=12
We know that
Binomial Probability P(X=x)=nCxxPxx(1P)(nx)
Step 2 - Probability calculation.
Probability that San Jose Sharks will win 5 games in the upcoming month. =P(X=5)
Here,
n=12,x=5,P=0.3694,(1P)=0.6306
Then binomial probability
P(X=5)=12C5x(0.3694)5x(0.6306)(125)
P(X=5)=792x(0.3694)5x(0.6306)(7)
P(X=5)=0.2160
The Probability that San Jose Sharks will win 5 games in the upcoming month is 0.2160

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