## Answers

8) From the given data

Y X | 0 | 1 | 2 | 3 | P(Y=y) |

0 | 0.32 | 0.2 | 0.1 | 0.05 | 0.67 |

1 | 0.1 | 0.05 | 0.04 | 0.03 | 0.22 |

2 | 0.05 | 0.03 | 0.02 | 0.01 | 0.11 |

P(X=x) | 0.47 | 0.28 | 0.16 | 0.09 | 1 |

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