The probability distribution of random variable X is defined as follows:   X 0 1 2 3 4 Probability 0 0.3 0.1 0.3 0.3 Imagine we have a second probability distribution of Y, in which E(Y) = 1.4 and σ(Y) = 2.04. Assume X and Y are independent. What are      E(X+Y) and σ(X+Y) ?

Q: If X is a random variable with probability distribution shown below, find E(X). x Pr[X-x] -2 0.1 0…

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Q: Suppose that X and Y are independent random variables having the joint probability distribution:…

A: Joint Probability Distribution: Let there are two random variables X and Y. Then the joint…

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A: a. The probability distribution is shown below,  x 1 2 3 4 5 p(x) 115 k15 k5 414 k15 To find…

Q: Suppose X and Y have the joint probability distribution given by the table shown below. Compute…

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Q: Find E(Y), the expected value of Y. Give your answer as a fraction in its simplest form.

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Q: Given that E(X) = 2.3 and Var(X) = 3.01, find the values of c, p and q. %3D

A: The E(X) is defined as E(X) = ∑x.P(X = x) And Var(X) = E(X2) - (E(X))2, then E(X2) = Var(X) +…

Q: Suppose that X and Y have the following joint probability distribution: Joint Probability Table…

A: a)   P(X=4)=0.15+0.3+0.1=0.55

Q: The joint probability distribution of variables X and Y is shown in the table below, where X is the…

A: We know, EXY=∑i∑jxi×yj×fx,y           =1×1×0.14+1×2×0.04+2×1×0.03+2×2×0.13 + 0           =0.8 From…

Q: Kand Y are discrete random variables taking values 0, 1, and 2. The joint probability distribution…

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Q: discrete random variable X has the following probability distribution.  x 0 1 2 3 P(X=x) q 4p2 p…

A: The provided probability distribution is, x 0 1 2 3 P(X=x) q 4p2 p 0.7 - 4p2

Q: A random number X has the following probability distribution: x P(X=x) 0 .2 1 .2 5 .1 10 .3 y .2…

A: Given Data: Expected value: E(X)=10 The expected value of the given distribution is,…

Q: Which formula gives the probability distribution by the following random variable 3, 4, and 5 with…

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Q: 23. Table Q3 1 2 0.15 a 3 0.4 X P(X=x) Given E(X)= 3.05, calculate the values of a and b. 6 b

A: a=0.25 b=0.20

Q: Suppose two independent discrete random variables X₁ and X2. Both follow a discrete distribution…

A: It is given that: PX1=1=PX2=1=p1=0.5PX1=2=PX2=2=p2=0.3PX1=3=PX2=3=p3=0.2 The variables X1 and X2 are…

Q: guui tu Une. 4. Which formula gives the probability distribution shown by the table? P(X) 1/2 1/3 C.…

A: NOTE: As per the guidelines, we are supposed to solve first question only. Please repost other as…

Q: A discrete random variable Y has probability distribution given in the table below. Y 1 2 P(Y=y) 0.3…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Activity 3: 1. Find the mean of the probability distribution of the random variable X, which can…

A: given,probability distribution of the random variable X; X 1 2 3 P(X) 1033 13 1233

Q: Suppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: Solution: From the given information, the probability distribution of X is

Q: If a discrete random variable X takes only three values 3, 5, and 8 and that P(X-3)%30.3,…

A: We have to find out given probability..

Q: If P(X)=X/6, what are the possible values of X for it to be a probability distribution?   a.…

A: For a probability distribution the total probability must be 1.    For a. 0,2,3 the total…

Q: Suppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: As per the guidelines we are allowed to solve maximum of 3 subparts Please repost the question if…

Q: Let Y be a random variable with the following probability distribution: p(y) = y/6 for y = 1; 2; 3…

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Q: If a random variable follows a Poisson distribution and if: 4P(x=0)=P(x=1), then find E(x² ) Select…

A: For a poisson distribution  EX2=λ2+λ

Q: Suppose a discrete random variable X takes only three values 0, 2 and 3. If P(0)30.5, P(2)=0.2 and…

A: The discrete random variable X takes only three values 0, 2, and 3. The probabilities are P0=0.5,…

Q: The discrete random variable Y has probability distribution given by: Y 0. 1 3. P(Y=y) b. 0.1 0.15 a…

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Q: A random variable Y is given with its probability distribution. Find the value of 100q. 0 1 3 0.35 q…

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Q: The possible values of a discrete random variable X are 0, 1, 3, and 6 with respective probabilities…

A: Given :Values , Probabilitiesx = 0,     P(0) = 0.2 x = 1,    P(1) = 0.3x = 3,     P(3) = 0.1 x = 6,…

Q: The table gives the joint probability distribution of the number of sports an individual plays (X)…

A: From the above given data the following solution is provided below: The marginal distribution…

Q: Let discrete random variables X and Y have the following probability distribution: Y 1 2 -1 0.10…

A: Expectation of Joint Distribution: Let X and Y be two jointly distributed discrete random variables…