11) If X be ar.v. from exponential distribution S(x) = ie¯ A>0, x20 Then the moment generating function of X is:

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A: From the given information,   x\y 1 2 3 4 5 6 Total 1 0 0 0 0 0…

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A: Solution

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A: Step:- 1 Gini index / coefficient Formula is Gi=∫01x dx-∫01f(x) dx1/2Here, ∫01x dx = 12= Area of y=x…

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A: see the attachment.

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Q: 11) If X be a r.v. from exponential distribution (x)= e- ス>0, x20 Then the moment generating…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: