5. The remaining lifetimes T, and T₂ of a married couple have joint density function f(t₁,1₂)=< -(1₂+1₂) 2e 2 2² |0, " for 0

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5.
The remaining lifetimes T₁ and T₂ of a married couple have joint density function
f(t₁,1₂)=
-(1₂+1₂)
2e. 2
2²
0,
for 0<t₁ <t₂ <∞o
otherwise,
where 2 is a positive constant.
Calculate the variance of T₁.
Transcribed Image Text:Question: 5. The remaining lifetimes T₁ and T₂ of a married couple have joint density function f(t₁,1₂)= -(1₂+1₂) 2e. 2 2² 0, for 0<t₁ <t₂ <∞o otherwise, where 2 is a positive constant. Calculate the variance of T₁.
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