Sum

Given the following table which relates to the number of parrots at age x, complete the life table for parrots.

X |
0 |
1 |
2 |
3 |
4 |
5 |

l |
1000 |
940 |
780 |
590 |
25 |
0 |

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#### Solution

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

Age x | l_{x} |
d_{x}=l_{x}-l_{x+1} |
q_{x}=`d_x/l_x` |
px=1-q_{x} |
lx=`(l_x+l_(x+1))/2` | T_{x} |
`P_x^o=T_x/l_x` |

0 | 1000 | 60 |
0.06 |
0.94 | 970 | 2835 | 2.835 |

1 | 940 | 160 | 0.1702 | 0.8298 | 860 | 1865 | 1.9840 |

2 | 780 | 190 | 0.2435 | 0.7565 | 685 | 1005 | 1.2885 |

3 | 590 | 565 | 0.9576 | 0.0424 | 307.5 | 320 | 0.5424 |

4 | 25 | 25 | 1.0000 | 0 | 12.5 | 12.5 | 0.5 |

5 | 0 | ___ | ____ | ____ | ____ | ____ |

Concept: Life Tables

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