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The probability that a person will die in the time interval (t, t2) is given by -}. p(t, < t s t2) = | a (t) dt. The function a (t) is determined from long records and can be assumed to be [3 × 10-1(100 - 1) 0sIs100 a(t) = %3D 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 60.

The probability that a person will die in the time interval (t, t2) is given by -}. p(t, < t s t2) = | a (t) dt. The function a (t) is determined from long records and can be assumed to be [3 × 10-1(100 - 1) 0sIs100 a(t) = %3D 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 60.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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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 St<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 60.
Transcribed Image 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 St<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 60.
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