If the joint probability density function of the discrete random variables X and Y is given by if 1 < x = y < 6 36 f(x,y) = { 2 if 1< x < y < 6' - 36 otherwise Then the marginal p. d. f. of Y is

Q: I need an easy to understand solution with a thorough explanation. I have no good background in…

A: Find the condition expectation

Q: Suppose that the random variable X has the probability density function ´c(1- x²) for - 1< x s1 f(x)…

A: Given that  Probability density functions of X is  f(x)= c(1-x2)   , -1&lt;=X&lt;=1       = 0…

Q: The waiting line at a popular bakery shop can be quite long. Suppose that the waiting time in…

A:

Q: 2. Suppose that the random variable X possess a uniform distribution on the interval (0, 1). Let…

A:

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

A:

Q: Determine the conditional probability distribution of Y given that X = 1. Where the joint…

A:

Q: If the continuous random variable X has the probability density S 6x(1 – x) for 0 <x <1 elsewhere -…

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

Q: If the independent random variables X and Y have the marginal densities f(x) = ⎧ ⎪⎪⎨ ⎪⎪⎩ 1 2 for 0…

A: From the given information, it is clear that,  fx=12     0&lt;x&lt;20       elsewhereπx=13…

Q: A continuous random variable X is defined to have a uniform probability density function given as…

A:

Q: A continuous random variable that can assume values between X 2 and X = 5 has a density function…

A: Given,f(x)=k(1+x)  ;    2≤x≤5

Q: Suppose that we have 2 random variables X and Y with joint probability density function fxy(x,y) = k…

A:

Q: 6. If the probability density of X is given by for 0<x s1 1 for 1<x s 2 f(x) = 3-x for 2<x<3 2…

A:

Q: The proportion of people who respond to a certain mail-order solicitation is a continuous random…

A:

Q: be a random sample of size n and given a >( >0 with the probability density function of X is…

A:

Q: 4. The function f(x) = x cos(4x) is proportional to a probability density function on the interval…

A: The mean of a probability distribution function is EX=∫-∞∞x.fx

Q: with

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

Q: If X is the space occupied by an equipment in a 1 cu. m. room. The probability density function is…

A: From the given information, fx=90x81-x, 0&lt;x&lt;1 Consider, the mean and standard deviation:…

Q: Suppose that we have 2 random variables X and Y with joint probability density function fxy(x.y) = k…

A:

Q: A continous random variable has density function f(x)=(3x2)/(03) for Osxse, for some 0>0, and zero…

A: First we have to determine mode and median of given distribution.

Q: Let X1, X2,..., Xn be a random sample from a population with probability density function s(2) =…

A: The method of moment estimator is found using the kth theoretical moment of a random variable, hence…

Q: If Y is a continuous, uniformly distributed random variable over the interval(4,10), then the value…

A:

Q: The probability density function of a random variable Y is given by 24y(10+2y-0.3y) S,(y)= ,0<y<10…

A: Given information: a) Consider,   The probability that the sample sum T=∑yi  is between 200 and…

Q: If the joint probability density function of the discrete random variables X and Y is given by if…

A: Joint p.d.f of X and Y are given as ,                            fx,y = 136 if 1≤x=y≤6236 if…

Q: Suppose that the joint density function of the random variables X and Y is      f(x,y)=k(1+2y), if…

A: From the given information, f(x,y)=k(1+2y), if 1&lt;x&lt;13 and 0&lt;y&lt;1 The value of k is…

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

A: a. From the given information,

Q: The joint probability mass function of two discrete random variables X and Y is given hy: Par(x, y)…

A:

Q: A random variable X has a Pareto distribution if andonly if its probability density is given by f(x)…

A: Note: The pdf is unclear in the question, hence solved for a two-parameter Pareto distribution: The…

Q: 6. Suppose X is a continuous random variable with a strictly positive probability density function…

A: Here are two methods of solving this probability density function…

Q: 8. Suppose that Y1, Y2, and Y3 denote a random sample from an population with an exponential…

A: Given that Y1, Y2 and Y3 denote a random sample from an population with an exponential distribution…

Q: Suppose that we have 2 random variables X and Y with joint probability density function fx,y(x,y) =…

A:

Q: Suppose that the density function f(x) of a continuously random variable X is given by f(x)=c•x…

A:

Q: 5. If the probability density function of a continuous random variable X is (cz" 0<x<1 f(r) =…

A:

Q: Suppose that the joint density function of the random variables X and Y is f(x.y)=k(1+2y), if 1<x<11…

A:

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

A:

Q: If the probability distribution of a continuous random variable that has values between y = 1 and 3…

A: Given problem is :

Q: Let X and Y be two discrete random variables with joint probability mass function Pxy (x, y). Show…

A:

Q: If the random variable T is the time to failure of a commercial product and the values of its…

A:

Q: Suppose that the joint density function of the random variables X and Y is      f(x,y)=k(1+2y), if…

A: From the given information, f(x,y)=k(1+2y) 7&lt;x&lt;13, 0&lt;y&lt;1 The value of k is obtained…

Q: If X is an exponential random variables with rate 1, then its distribution function is given by…

A: Here it is given that , F(x) = 1 − e−x Let us consider , F(x) = u. Now the distribution function…

Q: The probability density function of a random variable Y is given by [24y(10+2y-0.3y²) f, (y) =} ', 0…

A: Given information: a) Consider, Ey=∫010yfydy       =∫010y*24y10+2y-0.3y21000dy       =5.6…

Q: If the probability density of X is given by f(x) =kx3(1 + 2x)6 for x &gt; 00 elsewhere where k is an…

A:

Q: 5 Suppose the distribution function of the continuous random variable is [1-e*, x>0; F(x)= (0, x3);…

A: (1) The probability that the value of random variable exceeds three, is calculated as,…

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

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

Q: Consider a random variable X with probability density function f (x) given by 0.2 f(x) = { 0.2x –…

A: The given density function is:

Q: Suppose that X is a continuous random variable with a probability density function is given by f(x)=…

A:

Q: On a production line, parts are produced with a certain average size, but the exact size of each…

A: Define the Random Variable, X : Production error The PDF of X is given by, f(x) =2.5e-5|x| , x∈R A…

Q: A continuous random variable, X, has the following probability density function. k cos f(x) = { for…

A: Given: The distribution of X is  fx=k×cosπx2     0≤x≤1

Q: 6. Suppose that the random variables X and Y have joint probability density function given by Jx+y,…

A:

Q: Suppose that X is a normal random variable with parameters u = 5 and o = 1. Define Y = X2 – 10X +…

A: 1] X is a normal random variable 2] μ=5 and σ=1 3] Y=X2-10X+25

Q: If X is the continuous random variable whose probability density function, Find P(X25) for 0≤x≤ 4…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.