Suppose that X takes values between 0 and 1 and has probability density function x2 (2x +). If Y =+3, find Var(Y) =? X O a. 179/36 O b. 71/36 Oc. 71/9 O d. 287/72 O e. 71/144

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Q: Suppose that X takes values between 0 and 1 and has probability density function x2 (2x +). If Y…

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Q: If X has probability density function f(x) = x/12 on [1,5], find P(1< x < 2).

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Q: Q3 a) f the probability density function (cVx,0< x < 1 f(X)= 0, else where Find the value of c?

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Q: 4) Suppose X follows Exponential(2), and Y follows Exponential(4). X,Y are independent. (If Z…

A: The answer to the above question is as follows : X~exp(2)f(x)=2e-2x…

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Q: If the probability density function of X is : f(x) = e-x (1+e*)2 en what is the probability density…

A: It is an important part of statistics. It is widely used.

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A: Topic:- probability density function  Note:- as per our guideline if more than one question uploaded…

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A: Probability density function is

Q: Suppose that the joint probability density function of X and Y is fX,Y(x,y) = 10.125(x2 – y2) e−3x…

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Q: Given the probability density function as below (hx² f(x) =} (-15xs 1) otherwise

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Q: Q3) Given the function gx(x) = 4 cos(r.x/2b) rect (x/2b) Find the value of b so that ga(x) is a…

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Q: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) =…

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Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…

A: The probability density function on the indicated interval is given by : fx=kx32 ; 4, 9 As we know…

Q: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) =…

A: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) =…

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A: Consider the following pdf- f(x,y)=c.x2y,0&lt;x&lt;1, 1&lt;y&lt;20,otherwise EX|Y=∫01x f(x,y)dxf(y)

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Q: The probability density function of Y = 5X + 3 is:

A: To obtain the probability density function of Y=5X+3, we will use the transformation method.

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A: The provided probability density function is  f(x)=12    59≤x≤600       otherwiseThe mean is…

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Q: Q8. If f(x,y) = (24xy, 0sxS1 ,0 <ys1 x +ys1 is a joint density function of X and Y. Find the…

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A: See the answer below

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Q: The life (in months) of a certain computer component has a probability density function defined by…

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Q: Let f(x) = kx2(5 – x) if 0 5. (a) For what value of k is fa probability density function? k = (b)…

A: Solution is given below:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!