Question

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=

Answer #1

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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