Suppose that the random variable X has the probability density function ´c(1- x²) for - 1< x s1 f(x) = elsewhere Find the probability that X is in the interval of [0,1/2]

Q: suppose that the probability density function of x is f(x)={3x^2, 0, 02/3)

A: 3. Given f(x)=3x2, 0&lt;x&lt;1 Consider, P(X&lt;13)=∫0133x2dx               =3x3301/3…

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A: Given,f(x)=(6x-6x2)for  0&lt;x&lt;10elsewhere

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Q: f(x) = S ax', 2 3メ) 0く×C1 elsewhere CS Determined vREM Ćáhachht- Ex < 2/3) and P(xz 2/3).

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A: Let X be a random variable. The expected value of X or the mean of X, denoted by E(X) or μX​ is…

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Q: Show that the density function of distribution whose -712 characteristic function is e 10. is given…

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A: "As you have posted multiple questions, but we can solve only one at a time.Hence, I am solving the…

Q: (this is the pdf that was validated in #4 from above). Find the probability that the number lies in…

A: Let X have the pdf is, f(x)=3x2, 0≤x≤1 To find P0≤X≤13.

Q: Let x be a random variable with a probability density function defined by the form f(x) = ke */2, x…

A: We have given that X be a random variable with a probability density function defined by the form…

Q: 1 Find the cumulative distribution function for the probability density function f(x) = 18 on the…

A: We have given that the probability density function is  f(x) = (x/18)-(1/36),      [3, 7]

Q: 55 Prove that the functio: probability density F Given f(x)= 2(1-x) and (0<x< ضافة ملف

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Q: Determine the value of c for which the function below will be a probability density functi So(8x' -…

A: Here given thatf(x)=c8x3-x4   ; 0≤x≤80                    ; other

Q: 7) Suppose that the lifetime of an organism has probability density function f(x) = 4xe-2*, with x…

A: Since x=the number of years, so the least value of x is 0.   21) The probability that the organism…

Q: b) Suppose that X is a random variable with the probability density function given by (2(1-x), 0≤ x…

A: Given as, fx=21-x0≤x≤10otherwise

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A: Given: Computing CDF F(x) for X

Q: Suppose that the random variable X has the probability density function c(1- x2) for -1 s x s 1 f(x)…

A: We want to find the probability  P(0&lt;X&lt;1/5)= ?

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: family runs a robotic vacuum cleaner over a period of one year, is given as 0 < x < 1, f(x) = {2 –…

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A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Let the random variable X have the density function f(x)= (kx,0 ≤ x ≤ √2/k lo, elswhere

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Q: Suppose that the probability density function of x is (3x², 0 (2/3)) b) Determine the cumulative…

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Q: egral for a probability is diver

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A: a) Suppose a random variable X follows the continuous uniform distribution between 0 and 10.

Q: 9. Is the function defined by f(x)=0 = 1 18 =0 (2x+3) x4 a probability density function? Find the…

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Q: 48. If two random variables x1 and x2 have the joint probability density f (x1, x2) = - (x + 2x2) }…

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A: Findh =?p(x&lt;17.5) =?p(x&lt;22.0) =?

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A: We have   Cumulative distribution function for the probability density function.

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