a. Explain the difference between the method of moment generating function and the method of incarnation to find the probability density function of a random variable

Q: ) The continuous random variable Y has the following probability density function. Pembolehubah…

A: We want to find the  (1) mean  (2) cdf

Q: Let X and Y be two continuous random variables with the following joint probability density function…

A: Solution: From the given information,

Q: The expected values of the independent random variables x and y (E(x) and E(y)) for a joint density…

A:

Q: Suppose that the random variables X and Y have the following joint probability density function.…

A: Given information: The joint probability density function of X and Y is as follows: fx,y=ce-8x-4y…

Q: Let X,Y be two random variables with joint probability density function Y Values 23 O 18 000 1/8 1/8…

A: Probability could be defined as a number that always falls between 0 and 1, where 0 implies the…

Q: What is the moment generating function of the random variable X whose probability density function…

A: Given X~exp(1)

Q: Show that the following function satisfies the properties of a joint probability mass function…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: a) The weekly request for a drinking-water product, in thousands of liters, from a local stores is a…

A: Given: f(x)=2(x-1),1<x<20,elsewhere The objective is to find the mean, variance and…

Q: Let X, Y ~ E(X) be independent exponential random variables. Using the convolution theorem, show…

A: The Convolution theorem states that: Let X and Y be continuous independent random variables with pdf…

Q: A particular fast-food outlet is interested in the joint behavior of the random variable Y1, the…

A: NOTE: Since we only answer up to 3 subparts , we will answer the first 3. Please resubmit the…

Q: Suppose that the random variable W has a beta distribution with probability density function f (w)…

A:

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

A: # two independent random variable x and z from exponential distribution with parameter "a," and "d"…

Q: Delta Airlines quotes a flight time of 3 hours, 5 minutes for a particular flight. Suppose we…

A: Given Quoted flight time =3 hours, 5 minutes Actual time = between (3 hours and 3 hours, 20 minutes)…

Q: Suppose that the random variable W has a beta distribution with probability density function f(w)…

A: Use the condition of valid pdf to find the value of k…

Q: Let X,, Xy, .X, be a random sample of size n from the exponential distribution, Exp(8), with an…

A:

Q: Suppose that a > 0 is a constant. Let the joint pdf of random variables X, Y be fx,Y (x, y) x > 0, y…

A: To determine the value of the constant a, use the fact that ∫-∞∞∫-∞∞fx,ydydx=1. The conditional…

Q: Suppose that the random variable X has the probability density function flW) = 0 ( (1- x²) for - 1s…

A: Given p.d.f : f ( x ) =    ∫-11 c ( 1 - x2 ) dx           for -1 ≤ x ≤ 1                      o…

Q: Suppose that the random variable W has a beta distribution with probability density function f(w)…

A:

Q: If a random variable has a probability density function given by fox) =3 for 4.9 sxs5.1. Then the…

A: The distribution function of X is defined as F(x) = P(X ≤ x)

Q: x 1 2 3 4 5 P(X=x) 0.21 0.197 0.2 0.173 0.22 use the information in Table 3 to determine the…

A: Considering the score of 5 to be the score that exceeds the required standard for practices towards…

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

A:

Q: andom variable

A: The cumulative function is given as, fxx=10.5821-x2  , -0.3≤x≤0.30      ,       O.W. The probability…

Q: 1. The random variable Y = X2 does not have a normal distribution because the probability density…

A: The p.d.f of normal distribution is given by,

Q: An insurance company provides customers with both auto and home insurance policies. For a particular…

A: According to the Bartleby guideline only three sub-parts of the question can be solved at one time,…

Q: 1. Let X be a random variable with probability density function f(x) = {k(4 – x²) -2<x<2 otherwise…

A: #1     X   be a random variable with pdf                      f(x)  = k(4-x2)      -2 &lt; x &lt; 20…

Q: The 3 month demand for a spare car part has the following probability mass function: x 0 1 2 p(x)…

A: Given Data: x 0 1 2 p(x) 0.25 0.5 0.25 a) The expression to calculate the probability of at…

Q: Let X1, X2, and X3 be independent random variables from (-1, 1). Find the probability density…

A: Probability Density Function:                   Probability is deals with the random…

Q: i) If U, and U, each have a normal distribution with mean 0 and variance 202. Furthermore, my, (t) =…

A:

Q: Let X be a discrete random variable with probability mass function P(X= x) = p(1 −p)^x ; x=…

A: Given that, X be a discrete random variable with probability mass function P(X= x) = p(1 −p)x      ;…

Q: Suppose that random variable X is uniformly distributed between 4 and 22. Draw a graph of the…

A:

Q: the table below shows a probability density function for a discrete random variable X that is the…

A: Given the probability  density function for a discrete random variable X. We have to find the…

Q: Suppose that the following table is the joint probability distribution of two random variables X and…

A: The conditional pdf of Y on X is denoted by the following notation. fY|Xy|x The formula of fY|Xy|x…

Q: Let x denote the number of red lights the motorcycle encounters going from Beundia to Quiapo and y…

A: Correlation is given by; r(X,Y)=Cov(X,Y)σxσy We need to first find Cov(X,Y) and the standard…

Q: If is a Gaussian random variable withµ mean and o2 variance, find the probability density function…

A:

Q: Q4) Consider the following joint probability density function with random variable X and Y, * (what…

A:

Q: (a) Find fy(x) and fy(y), the marginal probability density functions. (b) Are the two random…

A: Given that, the joint pdf of X and Y is fx,y=316xy2 ,     0≤x≤2, 0≤y≤2 The Marginal probability,…

Q: The manager of a stockroom in a factory has constructed the following probability distribution for…

A:

Q: If X ~ U(3, 15), what is the probability density function for this distribution?

A:

Q: 1 - Provide the probability density function of X for a Wiebull Distribution with a shape parameter…

A: Note: As per bartleby guidelines for more than one question asked, only one question is to be…

Q: Let the probability distribution function (pdf) for a continuous random variable be defined as f(x)…

A: Given, The probability distribution function for a continuous random variable be defined as,

Q: Q13: If X₁, X2, ..., X7 is a random sample of size 7 from a uniform distribution U(0,0). Calculate…

A: It is given that Xi, i = 1,2,...,7 follows Uniform(a = 0 and b = θ).

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

A: f(x)=c(1-x2)     ;  -1≤x≤10                ;  otherwise

Q: 2. Consider the following joint probability mass function, fx.x(x,y) of the discrete random…

A: We have given the the joint probability mass function of X and Y is X/Y 5 6   1 0.15 0.10   2…

Q: Let Yi and Y2 be independent Poisson random variable with means , and 22, respectively. Using a…

A: Given that : Let Y1, Y2 be independent Poisson random variables with means X1 and X2, respectively.

Q: If X1 and X2 are independent random variables havingexponential densities with the parameters θ1 and…

A:

Q: Determine the probability density function of the random variable X* if x 1 ON|30

A:

Q: Suppose that the following table is the joint probability distribution of two random variables X and…

A: As per our guidelines we are suppose to do only three subpartsGiven Y\X -2 0 2 3 Total 2 0.27…

Q: The continuous random variable Y has the following probability density function. 1)Show that…

A: We want to find value of  (1) h  (2) CDF of the the pdf