1.3 Let X1,. , X12 P(0). Let Ho : 0 = } and H : 0 < . We reject Ho if S = X; < 2. Find the powers K(), K(}) and K(). Find a. %3D 12

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A: Solution of given question is written in below steps.

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A: To find out the partial derivatives.

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A: Let us consider the limit to be (0,2π) For the limit (-π,π)  the function is odd function so it will…

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A: We are given that a bowl contains 10 chips and only one is red. Draw chips from the bowl without…

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A: This question is based on chain rule differentiation.

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Q: find The domain of Ha function

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A: We know that x+80°=(5x)°. So,                 x+80°=(5x)°⇒(4x)°=80°⇒x°=20°

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A: We need to find coordinates of H.

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A: This question is based on Substitution.

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A: The differential equation is given by y' = 2x                                   .......(1) Initial…

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A: Topic = Derivative

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A: Topic - application of derivatives

Q: Show that if X gamma(r, A) and Y ~ gamma(s, ) independent, are then X + Y is gamma(r + s, ).

A: X~Gammar,λ fx=λrΓre-λxxr-1,     x&gt;0, r&gt;0, λ&gt;0 Y~Gammas,λ fy=λsΓse-λyys-1,     y&gt;0,…