#### Question

Calculate from `e_0^0,e_1^0,e_2^0` from the following data :

Age x | 0 | 1 | 2 |

`l_x` | 1000 | 900 | 700 |

`T_x` | - | - | 11500 |

#### Solution

Given` l_0=1000, l_1=900, l_2 =700, T_2=11,500`

We have `L_x=(l_x-l_x+1)/2`

`L_0=(l_0+l_1)/2`

`L_0=(1000+900)/2=950`

`L_1=(l_1+l_2)/2`

=`(900+700)/2=800`

We have `T_x=L_x+T_(x+1)`

∴ `T_1=L_1+T_2`

∴ `T_1=800+11,500=12,300`

`T_0=L_0+T_1`

`T_0=950+12,300=13,250`

Now `e_x^0=T_x/l_x ∴ e_0^0=T_0/l_0`

`∴ e_0^0 = 13250/1000=13.25`

`e_1^0 =T_1/l_1=12300/900=13.667`

`e_2^0=T_2/l_2=11500/700=16.428`

Is there an error in this question or solution?

#### APPEARS IN

Solution Calculate from E 0 0 , E 0 1 , E 0 2 from the Following Data : Concept: Statistics - Karl Pearson’s Coefficient of Correlation.