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The expected value is also known as mean and is denoted by µ; that is

x |
P(x) |

0 | 0.15 |

1 | 0.20 |

2 | 0.35 |

3 | 0.30 |

To find the expected value of breakdowns per week for this machine, we multiply each value of x by its probability and these products. This sum gives the mean of the probability distribution of x. The products x P(x) are listed in the third column of the below table. The sum of these products give ∑x P(x) which is the expected value of x.

X | P(x) | x P(x) |

0 | 0.15 | 0*0.15= 0 |

1 | 0.20 | 1*0.20= 0.20 |

2 | 0.35 | 2*0.35= 0.70 |

3 | 0.30 | 3*0.30= 0.90 |

∑ x P(x)=1.80 |