Question

HEB tracks the efficiency of its pharmacists in filling orders. Let T be the time in minutes to fill a randomly selected order. Here is the probability distribution for T.

T (time in minutes) |
Probability |

1 | 0.03 |

2 | 0.24 |

3 | 0.31 |

4 | 0.16 |

5 |

This table is missing the P(T = 5 minutes). Your first step is to calculate this probability.

Next, calculate the population mean. (*Careful! This mean is
NOT the same as the sample mean.*)

Finally, calculate the population variance. (*Careful! This
variance is NOT the same as the sample variance.*)

Enter your answer for the population variance to 2 decimal places of accuracy.

Answer #1

Conditions for the discrete probability distribution

The sum of all probability is equal to 1.

1 | 0.03 | 0.03 | 1 | 0.03 |

2 | 0.24 | 0.48 | 4 | 0.96 |

3 | 0.31 | 0.93 | 9 | 2.79 |

4 | 0.16 | 0.64 | 16 | 2.56 |

5 | 0.26 | 1.3 | 25 | 6.5 |

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