If X Poisson(X) ~ Prove that the probability that the variable takes on an odd value is (1 - e-2) 1 X = x : x = 2k + 1, k € Z¹) = (1. - e e-21)

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Q: If g(10) = 6, g' (10) = 1, g" (10) = -6 andg" (10) = 4.8, then g(10.4) O...5.9904 O...6.2182 4…

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Q: • prove that y` = = for y= (of (1+x)) 1+x²

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Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…

A: We will use contradiction to prove it.

Q: 6. y = xe* 7. y= 3x.e* 8. y = x² In(x) 9. y =x*(5x – 1) 10. y = (x² + 2x)5(3x-3 +x²)-7 11. y = (1 –…

A: Use product rule of differentiation.

Q: 3. Find the Bayes rule for loss L(a,o)

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Q: 3. In 1917, L.L. Thurstone, a pioneer in quantitative learning theory proposed a model of the number…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 3 In Oregon, of the soft drink bottles are recycled each year. A bottling company there produces 1.2…

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Q: | (2/x-1)? dx= 4/x-ln x'+x+c. 1. 4/x+ln x*+x+c. 3. (-4)/x-ln xª+x+c (-4)/x-ln x+x+c.

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Q: Suppose f"(x) = N;(h) + a,h + azh² + azh³ + -…- ... The value of N2(h) using Richardson's…

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Q: A renewal process has a renewal function M (t) = 4t + (1-e-4t). (a) What is the mean inter-event…

A: Given: Renewal function M(t) = 4t + (1-e-4t)

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Q: f(x) = 2x - 15 g(x) = v2x h(x) = j(x) = -(2x)2 12. (f+g+h+D(1) 13. (h + j)(x) 14. h(g(81))

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…