Question

salesperson | gourmet | single cup | filters | total | |

connor | 142 | 325 | 30 | ||

paige | 42 | 125 | 40 | ||

mallory | 71 | 75 | 10 | ||

40 | |||||

are the events mallory and gourmet independent ? explain

Answer #1

salesperson | gourmet | single cup | filters | total |

connor | 142 | 325 | 30 | 497 |

paige | 42 | 125 | 40 | 207 |

mallory | 71 | 75 | 10 | 156 |

total | 255 | 525 | 80 | 860 |

two events are independnet if P(A)P(B) = P(A and
B)

P(mallory = 156/860 = 0.1814

P(gourmet) = 255/860= 0.2965

P(mallory and gourmet) = 142/860= 0.1651

P(mallory) * P(gourmet) =0.1814 *0.2965 =
0.0538

since, P(mallory) * P(gourmet) ╪ P(mallory and gourmet)

so, events are not independnet

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