3. The following table shows the probability distribution of a random variable X. X 2 5 8. 10 3 5 7 P(x) 16 16 16 16 (a) Find E(X) and Var(X). (b) Find E(8X + 3) and Var(8X + 3).

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A: Given data,   P(X≥2)=?

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A:

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A:

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A:

Q: 1. Suppose that Z, and Z2 are discrete random variables with joint probability distribution given in…

A: Cov(Z1, Z2)=E(Z1Z2)-E(Z1)E(Z2) Note: If any random variable are independent then it must be…

Q: 3. If X and Y are standardized random variables and 1 + 2ab r(aX + bY, bX + aY) a? + b? Find r(X,…

A: Reviewing information, Given X & Y are standardized variables r(aX+bY, bX+aY)=1+2aba2+b2

Q: 4. The joint probability distribution of X and Y is given in TABLE Q4 a. TABLE Q4 a 2 3 4 Y 1 0.04…

A: Given that  The joint probability mass function of X and Y is  Y     X X=1 X=2 X=3 X=4 Y=1 0.04…

Q: For a random variable with the given probability distribution function. 1 3 4 f(x) 0.23 0.15 0.25…

A: Required probability is P(X≥2)

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A:

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A: Given data,

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A:

Q: The following table provides the joint probability distribution of X and Y y=(0 1 -1 1 1 1 12 6 12 1…

A:

Q: 3 4 5 P(X = x) 0.17 0.23 0.44 0.16 i. Show that P X x () = is a probability distribution function of…

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A: As per our guidelines we are supposed to answer only 3 sub-parts of any questions so i am solving…

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A:

Q: 2. Suppose the cumulative distribution function of the random variable X is x < -2, - 2 < x < 2, 2<…

A:

Q: 2 Which of the following represents a probability distribution? A. C. 3 S POX) 0.35 0.31 0 22 0.12…

A: Explanation: Properties of probability distribution: The sum of all the probabilities for all…

Q: The following table provides the joint probability distribution of X and Y y3(1 0.05 0.15 1. 0.10…

A:

Q: Ex: The following data represent the number of damaged pieces of spare parts for the production of a…

A: We have given the data about the probability distribution.

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Q: Determine the correlation for the following joint probability distribution 1 1 2 4 3 4 5 7 fw(X.y)…

A: Consider the following table based on given info:

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A: Thank you for posting the question. As your question has more than 3 parts, as per the policy, we…

Q: 2) Suppose Y = 3(X - 1)? where X is a random variable that takes on values 0,1, & 2 with probability…

A:

Q: 1. Determine the covariance and correlation for the following joint probability distribution:…

A:

Q: 4. Consider the following joint probability distribution of random variables X and Y f(x, y) = (3x –…

A:

Q: For the following probability distribution 3 2/5 4 P(x) 1/5 2/5 The population variance is . 0.7 0.9…

A:

Q: 3.13 The probability distribution of X, the number of imperfections per 10 meters of a synthetic…

A: From the provided information, x 0 1 2 3 4 f (x) 0.41 0.37 0.16 0.05…

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Q: Find P(X=1 and X=2)

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Q: 1. Suppose the cumulative distribution function of the random variable X is x 1.5) c. P(X 6)

A:

Q: 2. Below is a probability distribution for the number of students with high honors. 4. 1. 0.35 P(x)…

A:

Q: 3. The following table shows the probability distribution of a random variable X. BREED 8. 10 3 7 1…

A: E(X)=∑xP(x)

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

Q: For discrete probability distribution x 0 1 2 3 4 5 6 7 f 0 k 2k 2k 3k k^2 2k^2 7k^2+k The mean…

A: The value of k is obtained below: Thus, the value of k is 1/10.

Q: 1. The probabilitythat a cellular phone company kiosk sells Xnumber of new phone contract.s per day…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

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A: We want to find the conditional distribution and Probability  Note: According to bartleby experts…

Q: 4. Consider the following joint probability distribution of random variables X and Y f(x,y) = (3x –…

A:

Q: Find the expected value of g(X, Y) = XY2 . Find µx and µy.

A: The joint probability function of X and Y is described as Y.          X 2 4 P(Y = y) 1 0.10…

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A: From the joint density of X and Y, Y\X 1 2 3 4 P(X) 4 0 1/20 1/20 1/20…

Q: 1.The table below presents the probability function of random variable Y. Y=y P(Y=y) 1 3 4 0.4 0.3…

A: Determine E1Y. E1Y=∑y=141YPY=y=11×0.4+12×0.3+13×0.2+14×0.1=0.4+0.15+0.0666+0.025=0.6416 Determine…

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A: Given that  Probability distribution table X -1 1 3 5 P(X) 0.1 0.3 0.4 0.2   We know that…

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: X 1 2 expecta ctation fo P(x) 0.23 0.41 0.19 0.17 3 4 OA) 1.0 O this probability distribution?

A: x P(X) X*P(X) 1 0.23 0.23 2 0.41 0.82 3 0.19 0.57 4 0.17 0.68

Q: The following table provides the joint probability distribution of X and Y y3(0 1. -1 1 12 6. 12 12…

A: For two events A and B, the conditional probability of A given B can be written as P(A|B)…

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A: As given data is: The expected value is:…