If a random variable X has the following probability density function: ƒ(x) = e¯ª, x ≥ 0 What is E(X)? (a) 1 (b) -1 (c) In 2 (d) o (e) None of the above

Q: (17) Let X be a random variable with p.d.f. o >x>0 f(x)=< find E(e) O.w

A: Solution : Given :  f(x) = 15e-15x          0&lt;x&lt;∞0           o.w Here X ~exp(15) M.G.F of x is…

Q: Find the value of k.

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY KINDLY REPOST OTHER QUESTION AGAIN…

Q: Suppose that X and Y have the following joint probability function: 3r, if0<y< a<1 0, f(x, y) =…

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Q: c(1-x²), -1<x<1 %3D | 1. Let X be a random variable with probability density function f(x) =…

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Q: the probability

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Q: Problem 3: The joint probability distribution of the discrete variables X and Y is expressed in the…

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Q: fx(x): (Cx(1-x), 00

A: The probability density function is given; f(x)=Cx(1-x)     0≤x≤10                   elsewhere

Q: (b) Suppose another random variable, Z, has a similar pdf, but with the parameter d, i.e. dexp(-dz)…

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Q: x>0 f(x) = 8² elsewhere Find the value of c such that an interval from x to cx is a (1- a)100%…

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Q: 1 The length of a petal on a certain flower varies from 1.44 cm to 4.84 cm and has a probability…

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Q: For the following discrete variable with probability f(x) X 1 2 3 4 f(x) 0.2 0.15 2с 0.05 0.15…

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Q: Let X and Y be two events having a joint probability function given as 3 (x² + y²), 0 0.75). What

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Q: Q.1 A contimuous random variable X has the following function -3 sxs 15 fx (x) = }K* 0; e.w. @For…

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Q: 13. The loss random variable X has a probability generating function 1 P(z) = = 2-z What is E[XA 3]?

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Q: Consider the pdf of a discrete random variable X: p(x) =,r = 1, 2, 3, 4, 5, 6. The value of the at X…

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Q: 5. Suppose that X is a discrete random variable with probability density function х%3D1, 2, 3, 4.…

A: In question, We have given the pdf of X which is f(x). Then we'll find the value of E(X). The…

Q: 2. The probability density function of a random variable X is 0 1 2 3 5 6 3k 5k 7k 11k 13k P(X= x)…

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Q: 1. Assume that X is a continuous random variable with cumula- tive distribution function (cdf) 0. if…

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Q: 12. The continuous random variable X has probability density function S2xe, >0 fx(x) = 0, %3D…

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Q: A discrete random variable, X, has the following pdf as follows. X 0 1 2 3 4 P(X = x) 0.15 0.3 a 0.2…

A: Step 1: Given table, pdf tablex01234P(X = x)0.150.3a0.20.1 Step 2: a) The value of 'a' can be…

Q: 16. For the probability density function shown, what is the probability of the random variable æ…

A: To find: The probability of the random variable x being less than 1/3 ?

Q: Consider the formula: P(x) = x2/21, x = 0, 1, 2, 4. Is P(x) a probability mass function? If so, show…

A: Solution: 9. From the given information,

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Q: S. P(S = s) = fs(s) = {1+11+ ; s= 0,1,2, %3D %3D %D 0; e.w.

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Q: Hom variable X has the gamma p. d. f with integer j rary ß>0, then E(Xk) is

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Q: Question 34. Let X be a random variable with probability density function x € [0, 3], f(x) = 0,…

A: Given :-   fx = 19x2                         ,                   x∈0 ,30…

Q: If the probability den sity function of a continu ous random variable X is [a+ ba² 0<x <1 f(x) :…

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Q: 5. Suppose that X is a discrete random variable with probability density function x = 1, 2, 3, 4.…

A: Given: p(x)=cx2

Q: (i) Show that c = 2 (ii) Calculate the mean and variance of X. (iii) Find the CDF of the random…

A: As per policy I have calculated first 3 subparts plz REPOST for remaining parts with note I need…

Q: 12.Ifa random variable x has the probability density function fx) = /1+ x2),-∞< x < 0, then c =..?…

A: The probability density function of a random variable X is, f(x)=C(1+x2) ; -∞&lt;X&lt;∞0 ; Otherwise…

Q: 9. Consider the formula: P(x) = x/21, x 0, 1, 2, 4. Is P(x) a probability mass function? If so, show…

A: 9. The given formula is Px=x221,x=0,1,2,4.