Let X be the cumulative distribution: where x>0, a>0 1. Find the density function. F(x)=1-e-zª

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Q3.
Let X be the cumulative distribution:
where x > 0, a > 0
1. Find the density function.
F(x)=1-e-Tª
2. Calculate the expectation and the variance of X, use the Gamma function
10²0 20²
Hint: You can first calculate E(X) to save time.
T(a) =
x-16
e
da
Transcribed Image Text:Q3. Let X be the cumulative distribution: where x > 0, a > 0 1. Find the density function. F(x)=1-e-Tª 2. Calculate the expectation and the variance of X, use the Gamma function 10²0 20² Hint: You can first calculate E(X) to save time. T(a) = x-16 e da
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