The probability that a person will die in the time interval (t,, t2) is given by t2 p(t,

The probability that a person will die in the time interval (t,, t2) is given by<br>t2<br>p(t, < t < t2) = | a (t)dt.<br>The function a (t) is determined from long records and can be assumed to be<br>3 × 10-°t² (100 – 1)²<br>92<br>3 x 10<br>O St<100<br>a(t)<br>elsewhere<br>Determine (i) the probability that a person will die between the ages 60 and 70<br>and (ii) the probability that he will die between those ages, assuming he lived<br>upto 60.<br>

Extracted text: The probability that a person will die in the time interval (t,, t2) is given by t2 p(t, < t="">< t2)="|" a="" (t)dt.="" the="" function="" a="" (t)="" is="" determined="" from="" long="" records="" and="" can="" be="" assumed="" to="" be="" 3="" ×="" 10-°t²="" (100="" –="" 1)²="" 92="" 3="" x="" 10="" o=""><100 a(t)="" elsewhere="" determine="" (i)="" the="" probability="" that="" a="" person="" will="" die="" between="" the="" ages="" 60="" and="" 70="" and="" (ii)="" the="" probability="" that="" he="" will="" die="" between="" those="" ages,="" assuming="" he="" lived="" upto="">

Jun 10, 2022

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The probability that a person will die in the time interval (t,, t2) is given by t2 p(t,

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