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Assuming lambda=0.02 and t=50, compute

Suppose we have the improper prior \pi (\lambda ) \propto e^{-a\lambda }, \lambda \in \mathbb {R} (and a \geq 0). Conditional on
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Assuming lambda=0.02 and t=50, compute P(2)
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Normalization constant for the Poisson distributionThe probability mass function (pmf) of a Poisson distribution with parameter
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The prior \lambda is distributed according to \textsf{Exp}(a) (a > 0). Write the probability distribution function \pi (\lambda
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The lifetime (in thousands of hours) X of a light bulb has pdfg(x)= \lambda e^{-\lambda x}, \hspace{3mm} x\geq 0 for some
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Based on your understanding of the Poisson process, determine the numerical values of a and b in the following expression.Integr
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Recall that the exponential distribution with parameter \lambda is given by the pdf by\displaystyle \displaystyle f_\lambda (y)
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\, \lambda \sim \textsf{Exp}(\alpha ) \, for some \, \alpha >0 \, and conditional on \, \lambda \,, \, X_1,\ldots ,X_
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A long thin rod lies along the x-axis from the origin to x=L, with L= 0.830 m. The mass per unit length, lambda (in kg/m) varies
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Prove that tan (Lambda) cos^2 (Lambda)+sin^2 (Lamda)/sin(Lambda) = cos (Lambda) + sin (Lambda)
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