stationary probability

Q: Let X - Unif(0, 2) and Y - Unif(0, 1). Find the probability P(X > Y) that X is greater than Y

A: # Here  given that X~U nia,b       fx =1b-a   '   a≤x≤b  0            ' other

Q: Let X~N(2,1), Y~N(-1,2). X and Y are independent. Find the probability distribution for Z=X - 2Y.

A: The probability density function of normal variable is given by, f(x)=1σ2πe-12x-μσ2 Given: X~N(2,1)…

Q: Consider these three tables. State which table (s) could not represent a discrete probability…

A: Consider a random variable x with probability distribution of p(x). Now, p(x) is said to be a valid…

Q: Choose a probability vector. 1.1 -0.1 [0.009 0.09 0.9 0.1 0.85 0.05 O [0.05 [0.90

A: A probability vector is a vector where all the entries are non-negative and add up to exactly one.…

Q: if X follows the Poisson probability law such that P (x 1) = P (x = 2). then ind the probability of…

A:

Q: Assume that each face of the top is equally likely to face upward and that the pot holds 34 tokens.…

A: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C or D.…

Q: Suppose that the joint probability for random variables X and Y defined by f(x, y) y 1 2 1 28 28 28…

A: Solution: From the given information, the joint probability for X and Y is

Q: Let X and Y be two discrete random variables with the following joint probability function x =1, 2.…

A: Solution: From the given information, the joint probability function is

Q: If X is a random variable having a uniform distribution U (a,b) such that P(20<X<40)=D0.2 and mean…

A:

Q: Let Y1, Y2,.... Y, be independent Poisson random variables with means A1, A2. ..... respectively.…

A: Given,  Y1,Y2.....Yn be the independent Poisson random variable with means λ1,λ2......λn Pdf of…

Q: For a normally distributed random variable x with u = 100 and o = 16, use %3D technology to find…

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Q: Let X and Y be discrete random variables with the following joint probability function. f(x,y) =…

A: Solution-: We have following table: X Y f(x,y) 4 7 0.10 4 9 0.30 12 7 0.20 12 9 0.40…

Q: Find k. Calculate the marginal probability that U = 3 and V>6

A: The two variables U and V are organized in joint probability distribution as follows:     V = 4…

Q: Is P(X = x) = 1+1 ; x = 0,1,2,3,…; a > 0 1+2 a discrete probability function? Why or why not?

A: We need to use the concept of probability distributions.

Q: Find the steady state probability vector fe Av = v and the components of v sum to 0.6 0.1 0.4 0.9

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Q: vii) Consider a case of a particles and two compartments, if m is the mumber of particles in one…

A: Note: Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: For a normally distributed random variable x with u = 100 and o = 16, use technology to find each…

A:

Q: In an NBA championship series, the team that wins four games out of seven is the winner. Suppose…

A: distribution : negative binomial  condition: to win 4 games, and 4th success occurs on 6th game.

Q: Calculate each Poisson probability:   (a) P(X ≤ 9), λ = 14 (Round your answer to 4 decimal places.)…

A:

Q: Assume that the joint probability function for X and Y is fxy (x, y) = 4 x 10-exp(-0.004x - 0.002y)…

A: From the given information, The joint probability function for X and Y is,…

Q: A survey was conducted to gather information on the coffee intake of residents in a specific…

A: Consider a random variable x with probability distribution of p(x). Now, p(x) is said to be a valid…

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

A: Give joint probability function is: fx,y=32x2+y20≤x,y≤10elsewhere A). PX≤12,Y≤12…

Q: A rifleman gets 3 hits out of every 10 shots on the average. Assuming that the probability that he…

A: given;X: number of shots hitX~binomial(n,p)  where n=100 and p=310=0.3binomial(n,p)~N(μ,σ)…

Q: Q3.The relay network in figüre, operates if and only if there is a closed path of relays from left…

A: Given: The network operates only if there is a closed path of relays from left to right. Consider…

Q: 1. If the joint probability is given by: x + y f(x, y) = 30 for a = 0, 1,2, 3; y = 0, 1,2, Find: (a)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: In an NBA championship series, the team that wins four games out of seven is the winner. Suppose…

A: From the given information, the probability of team A winning a game over team B is 0.55.

Q: The following linear probability model has been estimated by OLS: Pr( y =1) = - 0.05 + 0.01 X1 +…

A: The given linear probability model is Py=1=-0.05+0.01X1+0.0002X2 where data values for X1 is in the…

Q: Determine the value c so that each of the following functions can serve as a probability…

A: For any probability mass functionp(x)≥0∑xp(x)=1

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

A: Given joint probability function is: fx,y=32x2+y20≤x,y≤10elsewhere A). PX≤12, Y≤12 PX≤12,…

Q: B. Determine if each table is a discrete probability distribution or not. 1) 1 4) a 2 4 6. 8. P(x)…

A: Given1)

Q: Let V=X+Y and U=X-Y are random variables, then the condition which make the covariance

A: Given that V=X+Y and U=X-Y are random variables. Formula for covariance between U and V is…

Q: The probability of the closing of the iith relay in the circuits shown is given by pipi. Let…

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Q: Find k if the joint probability distribution of X, Y, andZ is given by f(x, y, z) = kxyzfor x = 1,…

A: The joint probability density function is given as f(x,y,z)=kxyz For x=1,2 ;y=1,2,3 ,z=1,2. Compute…

Q: 1. If the joint probability is given by: x+ y f(r, y) = 30 for r = 0, 1, 2, 3; y = 0, 1, 2, Find:…

A: As per our Guidelines we are suppose to answer only one question1)

Q: You'll be using this joint probability distribution function to calculate the covariance between Y…

A: We have to calculate covariance between two discrete variables.

Q: Let X denotes the number of patients who die at a certain hospital in a day. The following table…

A: Expected number of deaths per day = 0*0.3+1*0.25+2*0.25+2*0.25+3*0.15+4*0.05 = 1.4

Q: A random variable X has a probability distribution as X a b C P(X) = |p(x) 1/4 1/2 1/4] It is…

A: Given probability distribution of random variable of X is  PX=Xabcpx141214 and conditional…

Q: A data stream consists of the characters A, B, C, D and E, with respective probabilities of 0.16,…

A: Given problem Given that

Q: Construct a probability distribution of the return on an investment of $ 1000, $3000, $5000, and…

A:

Q: If the joint probability is given by: f(x,y) - (3x + 2y)/40, for x = 0, 1, 2, 3; y = 0, 1, 2, 3

A: Given information: The joint probability mass function is obtained as given below: f(x, y) = (3x +…

Q: Suppose that the distribution function of X is given by: [0, b<0 b O<b<1 F(b) =: D-!, 1sb<2 4 11…

A: Solution

Q: X and Y are independent, X ~U(0,1) and Y~U(0,1). Calculate the probability P(X+Y<1.5).

A: X ~U(0,1) , and Y ~U(0,1) , independently.  Then the joint distribution of X and Y, also follows,…

Q: If X and Y have the joint probability distributionf(x, y) = 14 for x = −3 and y = −5, x = −1 andy =…

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Q: The following table represents the probability function of discreate variables X {-3, -2, -1, 0, 1,…

A: We have given that  X -3 -2 -1 0 1 2 3 P(x) 1/16 2/16 3/16 4/16 3/16 2/16 1/16 I want to…

Q: The cdf of a random variable is given by (1— х)2 F,(x) = 0 1/3}, B = {|X| > 1} C= {|X – 1/31 < 1}, D…

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Q: Consider the probability mass functions of the two investment hat are presented to a businessperson.…

A: The table with the necessary calculations is shown below: The expected value is calculated as…

Q: Suppose Y ~ Uniform(01,O2) where the parameters Ө and 02 take the values 1 and 5 respectively.…

A: Y~ Uniform(θ1,θ2)  where θ1=1 and θ2=5 probability density function of Y; f(y)=14,   y∈(1,5) 0,…

Q: A roulette wheel has thirty slots consisting of two blue, eight white, and twenty red slots. You…

A: Given that  Total slots=30 Red slots=20 White slots=8 Blue slots=2 If roulette stop Blue slots give…

Q: Consider a two-server system in which a customer is served first by server 1, then by server 2, and…

A: Given that: The service times at server i are exponential random variables with rates μi, i = 1, 2…