Waiting time. et the time waiting in line, in minutes, be described by the random variable K which has the following pdf, f(x) = { , 2

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A:

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A: Given Y=X2+1 X -1 1 2 P(X=x) 0.4 0.1 0.5

Q: Let X be a continuous random variable with PDF 2x 0 < x < 1 fx(x) = {0 otherwise Find the expected…

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Q: Q1\A/ Consider a discrete random variable X whose pmf is given by: Find: 1-E[ X ] and Var( X )? f(x)…

A: Given p.m.f. is  f(x)=13                    x=-1,0,1     =0                        otherwise

Q: continuous random Variable X has probability Density function defined by f(x) = 5-5x;  0

A: Given: f(x) = 5-5x

Q: Suppose that X and Y are independent random variables with the probability densities given below.…

A: Suppose that X and Y are independent random variables with the probability densities given below.…

Q: k рех, у) хсу. y = 1,2,3 other - and the marginal probability function of Y P (Y) 6

A: Given PDF is p(x, y) = kx2y,x=1, 2,  y=1, 2, 30,otherwise

Q: Q2/ Let X be a random variable with normal distribution N(0,4) and Y=(X+2)² find:- 1- P(Y > 1) 2-…

A: Given Information: Let X be a random variable such that X~Nμ=0,σ2=4 and Y=X+22.

Q: Let X be a continuous random variable that is normally distributed with mean, µu = 15 and standard…

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Q: The life of a machine component has X days. The random variable X is defined by the P(X) P(X=x ) = {…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: What is the probability that x is less than or equal to 2? What is the probability that is an even…

A: a) The probability that x is less than or equal to 2 is:P(X≤2)=P(X=1)+P(X=2)=(1-2)26+(2-2)26=16

Q: The probability of an event depends on the random variable X and can be expressed by the following…

A: Given:P(A|x)=1-e-kx ;x≥0 where k&gt;0Given that X is a normally distributed random variable with…

Q: What is the expected value (mean) of a continuous probability distribution function with the…

A: Given that  A continuous probability distribution function with the probability density function…

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A: Here, need to give an example of a probability density function fX(x) whose associated continuous…

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A: Given function is P(x)=(15)(45)x

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A: For continuous random variable probability at a single point is always 0

Q: 1- P(Y > 1) 2- P(X>2 Y < -1) 3- P (3<X<7)

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Q: The density function of a certain random variable is 22 4x (0.2) 4¹ (0.8)22-42 if x = 0, 1, f(x)=…

A: Solution-: We have given the following pmf f(x)=224x*(0.2)4x*(0.8)22-4x ,  if  x=0,14,24,.....224…

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. Find the…

A: N=2000 K=800 n=200 x~Hypergeometric(N=2000,K=800,n=200) P(X=x)=KxN-Kn-xNn ; x=0,1,...,n

Q: A continuous random variable X has a pdf of the form: fox) - (821/867) x^2, for 2.08 <X<230.…

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Q: We have a random variable X and Y that have the joint pdf f(x) = {1    0<x<1, 0<y<1}…

A: This question deals with the probability density function (pdf) of a random variable U which is the…

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Q: The amount of water in a reservoir at the beginning of the day is a random variable X and the amount…

A: The amount of water left in the reservoir at the end of the day: Z= X-Y

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Q: -3) = , P(X = 1) = }, P(X = 8) : %3D ot the cumulative distribution function of X. lulnto the values…

A: x y -3  1/8 0  3/4 1 1    Probability mass function: It is a discrete random variable that…

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Q: What is the variance of a continuous probability distribution given by the density function f(x) =…

A: The probability density function (PDF) is given by  for

Q: What is the variance of a continuous probability distribution function with the probability density…

A: Introduction: In probability and statistics, the variance of a continuous probability distribution…

Q: A probability density function of a random variable is given by f(x)=x/8-1/2. on the interval [4,8]…

A: Given  f(x)=x/8-1/2. on the interval [4,8]

Q: Let X1, X2, ..., Xn be a random sample from a Uniform(0,0 + 1) population with 0 > 0, *(3)**(3+1) X…

A: Given that, Let X1,X2,...,Xnbe a random sample from a uniform θ,θ+1population with θ&gt;0 where n is…

Q: What is the expected value of a continuous random variable X with probability density function (pdf)…

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