random Variá ble has the probability density f (x) as Example 2e 2*, for x >0 -2x f(x) = 0, for x<0 Find the probabilities that it will take on a value (i) between 1 and 3 (ii) greater than 0 5

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A: The joint probability mass function of x and y is, P(x,y)=x+y21;x=1,2 and y=1,2,3 x=1, y=1…

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Q: The probability mass function of a random variable X is given by 1 X f(x) = P(X = x) F(x) = P(X ≤ x)…

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Q: The life of a machine component has X days. The random variable X is defined by the P(X) P(X=x ) = {…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: 2 The function p₂ (x) can be used to model the service life of Product A. (i) Using definite…

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Q: (a) (b) (c) f (x) = c exp (- 6x) x > 0 - cx, -1 0 S(x)=√(²3)*, x = 0,1,2,...

A: The Probability distribution function of continuous or discrete random variable are given then to…

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A: the random variable X has probability density function f(x) given by;f(x)=1x-12≤x≤e+10otherwise

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A: Here, need to give an example of a probability density function fX(x) whose associated continuous…

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Q: (try) Example 41 A cortinuous random variable X has a probability density function f(x) as follows:…

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Q: A random variable has a PDF f(x) = i) The value of C. ii) P (X> 2). C √√25-x² -5<x< 5. Find

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Q: Let X be a continuous random variable with density f (x) = 24x-4 for æ > 2. Then Var (X) is equal to

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Q: (a) the value of k. (b) the mean and variance of X. (c) P(l£xs3).

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A: X1 are iid r.s.Let random variable X have probability density function

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A: The joint probability density function is given  f(a,b) = 1/64*(a+5b)

Q: х3 (10-х) Q1. Show that f (x) = ; 0<x < 10; is a probability density function. (3marks) 5000

A: Q1. f(x) = x3(10-x)5000 ; 0≤x≤10

Q: find the value K and F(x).

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Q: The probability density function for the continuous random variable X is given by: (A(x² – 2x + 21)…

A: Farmula used. V(X)=E(X2)-[E(X)]2 Sd(X)=√Var(X)

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A: Step 1:Step 2:Step 3:Step 4:Final Answer (a). 77.667(b). 1492.955

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Q: Suppose that X is a random variable with distribution function given by I< 1, 1<r< 2, 2 <x < 3, 3<r.…

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Q: (****) A continuous random variable X has probability density function (PDF) for some constants a…

A: X is a continuous random variable having a probability density function