Answer part a of the following question. Show work. Let Y > 0 be a continuous random variable representing time from regimen start to bone-marrow transplant. Everyone does not survive long enough to get the transplant. Let X > 0 be a continuous random variable representing time from regimen start to death. We can
Answer part a of the following question. Show work.
Let Y > 0 be a continuous random variable representing time from regimen start to bone-marrow transplant. Everyone does not survive long enough to get the transplant. Let X > 0 be a continuous random variable representing time from regimen start to death. We can assume X ⊥ Y and model time to death as X ∼ Exp(rate = θ) and time to transplant as Y ∼ Exp(rate = µ). Where Exp(rate = λ) denotes the exponential distribution with density f(z | λ) = λe−λz for z > 0 and 0 elsewhere - with λ > 0.
a.) Compute the
From the given information, the random variable Y>0 be a continuous random variable representing time from regimen start to bone-marrow transplant.
The random variable X as the time to death follows Exp(θ)
and Y as the time to transplant as Exp(μ).
Here, Exp(rate = λ) denotes the exponential distribution with density f(z | λ) = λe−λz for z >0.
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