Let X be a random variable with probability mass function  P ( X = 1 ) = 1/2 , P ( X = 2 ) = 1/3 , a n d P ( X = 5 ) = 1/6 . Then E[1/x]=?

Q: Let X be a random variable with pdf f(x) = kx*,-1 <x< 1. Find E (X).

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Q: The number of trams X arriving at the St. Peter's Square tram stop every t minutes has the following…

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Q: Verify that p(x) = 3x - 4 is a probability density function on [1, oo)and calculate its mean value.

A: Probability density function:(1) p(x)≥0       (2) ∫-∞∞p(x) dx=1(1)…

Q: Given the two random variables X ~ Uniform (0, 1) and Y Uniform(0, 1), with XLY, find the joint…

A: # random variable x and y follow uniform (0,1) :let U=x^2 &amp; v=xy then to find joints pdf of…

Q: Let X be a random variable that follows U (0, 2). Define another random variable Y such that Y = -…

A: We have given that, Let X be a random variable that follows U(0,2).   The probability density…

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: e 22 ,x > 0 f (x; λ) 1 otherwise

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Q: I toss a fair coin twice, and let X be defined as the number of heads I observe. Find the range of…

A: Given that  A fair cion tossed twice  Total outcomes=22=4 Sample space=S=(HH,HT,TH,TT) X=Number of…

Q: and Y have joint probability density function f(x,y)=6x,0<x<1,0<y<1-x 0,elsewhere. ermine whether…

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Q: Suppose X~Uniform (0,1), and Y = -ln (1-x). (a). Find the probability density function of Y

A: Given that X follows Uniform distribution with (0, 1). Y=-ln1-X a) Consider, the cumulative…

Q: Consider a random sample X1,..., X, with n > 3 from the exponential distribution rith parameter A >…

A: Given that, a random sample X1, X2.....Xn with n&gt;3 is from the exponential distribution with…

Q: Consider the probability density function x, for 0 < x < 1 f(x) = {2 - x, for 1 < x <2 0, %3D…

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Q: If the density function of the random variable X is be-bx x>0, f(x)= 0, for b > 0. Otherwise. If the…

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Q: Find a value for constant A such that x<-1 fx (x) ={ A(1- x*)cos -1<x<1 1< x is a yalid probability…

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Q: d) Let Y be a continuous random variable with a probability mass function: Derive the moment…

A: Given that  We have to find the derivation of moment generating function of Y :

Q: (2) j libäë Q7) A continuous random variable X has the below density function, Find the expected…

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Q: If the probability density function of the random variable X is: -X e X>0, f(x) = 0, Otherwise. Then…

A: Here we need to find the Mgf of the given density function. It is clear that the above density…

Q: Let X be a continuous random variable with probability density function 2x f(1; 0) = () -x² /0 for x…

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Q: The density function of a certain random variable X is given by 1 B(a, e)*(1 – x)o-1 0, f(x) ,if 0 <…

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Q: Let Y1,..., Yn constitute a random sample from the probability density function given by fy (yl0) =…

A: The probability density function of Y is given below: fYy|θ=2θ2θ-y, for y∈0,θ

Q: Consider a random sample X1,..., Xn with n> 3 from the exponential distribution with parameter > 0…

A: Given that  X1,X2,......Xn with n&gt;3 from the exponential distribution with parameter λ&gt;0 and…

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

A: From the definition: The function f is a probability density function of a random variable x in the…

Q: Let the random variable X have the density function = {kx₂,0; f(x) (kx,0 ≤ x ≤ √√2/k 0,elswhere

A: Given information,

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=kx ; 1, 5 As we know…

Q: Let X be an exponential random variable with parameter = 7, and let Y be the random variable defined…

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Q: Let X be a random variable with probability mass function: x=1,23 S(x) =3 O.w Find the probability…

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Q: Suppose that two continuous random variables X and Y have joint probability density function fay =…

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Q: Suppose X has the following probability mass function p(0) = .2, p(1) = .5, p(2) = .3 %3D Calculate…

A: Given that  Probability mass function.  X 0 1 2 P(x) 0.2 0.5 0.3 E(x2 ) = ∑X2.p(x)

Q: 16 Find the expected value of the function g(X) =X², where X is a random yariable defined by the…

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Q: d) Let Y be a continuous random variable with a probability mass function: fV) = r – 1 Derive the…

A: Solution

Q: The function f(x) = 7x for x = 1,2,4 and zero otherwise, is a probability mass function.

A: Here use basic of Probability mass function

Q: Let X be a contimuous random variable with a density function: 5 x| -15xS1 f(x) = 3 0, otherwise…

A: The probability density function f(x) has two important properties : f(x)≥0 ,  for all x…

Q: 2. Let X be a continuous random variable with density function f(x)= for 0≤x≤2 0, otherwise Find…

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Q: Suppose that the random variables a and Y have the joint density function given by: f(x, y) = b(4x +…

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Q: Let X be a random variable with probability density function fx(x) given by fx(x)= 0. (2e-2 for x20…

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Q: Suppose a discrete random v mass function (where c> 0 is a constant): 1 5c p(w) 2c

A: According to the sum, a) We know, ∑w=04p(w)=1 So, 2c+5c/4+c/2+c/4=1 Or,4c=1 Or, c=1/4 The value os…

Q: Let X be a random variable with probability density c cos x, x E [-1/2,7/2], C COS X, f (x) = 0,…

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Q: let X and Y have the joint density e-(x+y) for 0<x,y<∞ f(x.y)= other wise then X and Y are…

A: Solution: From the given information, the joint density function of X and Y is

Q: Find the value of k for the probability mass function F(x) = k () (4 * ) for x = 0,1,2.

A: The given probability mass function is, Substitute the values of x in given mass function as…

Q: Determine the value of e that makes the function f(x, y) = cxy for 0 < x < 4 and 0 < y < 4 satisfies…

A: Solution

Q: - y) = (x + y) is a joint probability density 15 ction over the range 0 < x < 3 and 0 < y < 2. P(X <…

A: Given that the joint probability density function of x and y is, Compute

Q: Let X be a random variable with density function f (x), with 0 <x <4. dx = 0.8 and f)dx = 0.4 %3D…

A: Solution

Q: 1. The proportion of people who responded to a certain mail-order solicitation is a (2(x+2) 2,0 <x<1…

A: HERE AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  here given pdf of x

Q: Let X be a random variable with density function: [K(1=x³) f(x) = { 01 if 0sxs1 otherwise The value…

A: The total probability is always 1. So, ∫-∞∞f(x)dx=1

Q: Let X1, X2, ..., Xn denote a random sample from the probability density function fx(x) = ax for x E…

A: Given : fX(x) = αxα-1    for x ∈(0,1) and  α&gt;0.

Q: Suppose the life span of a laboratory animal is defined by a Rayleigh density function with a=0 and…

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Q: Find the value of c so that ƒ(x) = csqrt(x)(1 - x) is a probability density function for the random…

A: Write the given expression and simplify it using the definition of probability density function.

Q: The probability density function of the random variable X whose momen x+1 generating function () (1…

A: Let us consider, the probability density function,

Q: Let X be an exponential random variable with parameter A = 7, and let Y be andom variable defined by…

A: Given information: X has Exponential distribution with λ=7. The probability density function of X…

Q: .Let X be a random variable with the gamma probability density function. Derive the MSE of T=X² +2X

A: Here, X~Gammaθ,n,n&gt;0,θ&gt;0 and T=X2+2X

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.