Let X1 ∼ Gamma(k1, λ) and X2 ∼ Gamma(k2, λ) independently. Show that X1/(X1 + X2) ∼ Beta(k1, k2). [Hint: Consider introducing Y2 = X1 + X2.]

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A: As per company guidelines I solved only First questions ..thank you

Q: The Flemish breed of rabbits have an average weight of 3600 grams. The Himalayan breed has a mean of…

A: Given F1=162 Gram F2=230 Grams Find Average contribution of each

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Q: Keeping everything else constant, your test statistic will be _______________ if the significance…

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A: Given that  Slice Winning (in dollars) Red 5 Green 6 Blue 6

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A: Givensample size(n)=48Mean(x)=16.4standard deviation(s)=4.1α=5%=0.05

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Q: Name o the Stuuent 2. A brand of powdered milk is advertised as having a net weight of 250 grams. A…

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Q: Ep190 Epngo Ep191 Ep91 (v) x 100 Ep 191 Χ 100 (vi)

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Q: Using your knowledge of Excel, calculate the total rainfall per month for each of the 24 months. The…

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Q: 2.1. Let Y1, Y2, ., Y4 be a random sample of size 4 from an exponential with parameters and ß = 2.…

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A: Given that  p=45.3% , n=500 , X=200

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Q: First-semester GPAs for a random selection of freshmen at a large university are shown: 1.9 3.2 2.8…

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Q: What is the mean monthly rainfall in mm?

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Q: The following confidence interval gives a range of likely values for the average height of all…

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A: Given that mu = 97,s.d=18

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Q: 3 unbiased dice are flipped for 216 times. Find the chance of getting the face with 6 dots on 3…

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Q: According to the Center for Disease Control (CDC) during the 2018-2019 season the percent of…

A: Given that  p=45.3%=0.453 , n=500 , X=200 Level of significance=5%