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Fill in the Blanks Which H with a Question Mark in the Following Marked from the Life Table : - Mathematics and Statistics

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Question

Fill in the blanks which are marked with a question mark in the following marked from the life table : 

x lx dx qx px Lx Tx
20 88230 ? ? ? ? ?
21 79473         320552
Sum

Solution

(a) Use  dx = lx - lx+1

d20 = l20 - l21

= 88230 - 79473

= 8757

(b) `"q"_"x" = "d"_"x"/"l"_"x"`

`"q"_20 = "d"_20/"l"_20`

`= 8757/88230`

= 0.09925

(c) p= 1 - qx

p20 = 1 - 0.09925

= 0.90075

(d) Lx = `("l"_"x" + "l"_"x + 1")/2`

`= ("l"_20 + "l"_21)/2`

`= (88230 + 79473)/2`

= 83851.5

= 83852

(e) Tx = Lx + Tx+1

T20 = L20 + T21

= 83852 + 3205552

= 3289404

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2015-2016 (July)

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