Let X1, X2, ... , Xn represent a random sample from a population with a gamma(2, B) distribution, ie., its probability density function is given by xe-x/B 32 0 < x < ∞ f(x; ß) = 0, otherwise.

Q: 10) Let f(x) by the probability density function of some continuous random variable. Explain why it…

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A: Given that Pdf of is  f(x)= 20000/(x+100)3 , x&gt;0

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Q: Q2) The shelf life, in days, for bottles of a certain prescribed medicine is a random variable…

A: Correct answer is  0.1840134

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A: Given that  Probability density function f(x) f(x)=30/x2     , 25&lt;x&lt;150           0…

Q: Suppose X is a continuous random variable with probability density fund 0.3 0 1 f(x) = What is the…

A: The variable X is a continuous random variable.

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Q: The continuous random variable X has a probability density function (pdf) given by (1-1/x f(x) = {1…

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Q: F(x)=0.25x+0.5 x < -2 -2≤x<2 25x Determine the probability that the random variable X is greater…

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Q: Suppose that the random variable X has density function fx (x) = bxb-1 for 0 < x < 1, where b is a…

A: The median of a probability density function, f(x) is calculated using the formula,               ;…

Q: f(x) = {o otherwise (a) Find the value of c which makes this a valid probability density function.…

A: According to the Bartleby guidelines experts solve only one question and maximum three subparts of…

Q: Determine the mean and variance of the random variable with the probability density function      f…

A: We have given that  The pdf is  f(x) = 1.6(1-0.8x),     0 &lt; x ≤ 1.25