For any two random variables Y₁ and Y₂, Var(Y₁Y₂|Y₁ = y₁) = y{Var(Y₂|Y₁ = y₁). TRUE

Q: If the variance of x is 4 then the variance of 3 + 5x is (a) 100 (b) 103 (c) 20 (d) 23

A: Step 1:Adding a constant a to a random variable does not change its variance, and multiplying a…

Q: Solve the two simultaneous equations to show how Q and P depend on u and v.

A: From given data we have; Demand:            Qd=β0+β1P+u ,Supply:            Qs=γ0+vMean:…

Q: A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10…

A: The test is to check whether the variables X and Y are related or not.

Q: If X1, X2, .., Xn are mutually independent normal random variables, with their means all equal to 3…

A: From the given information, E(Xi)=3V(Xi)=10

Q: If a potential customer is exposed to 4 promotions in a given month, what is the probability that…

A: here given ,     the number of promotions to which a customer has been exposed.  The  dependent…

Q: Suppose the variance of the difference of two random variables X and Y is zero. Then, show that X =…

A: A random variable is a function that associates a real number with each element in the sample space.…

Q: random variables with the same mean µ but possibly different variances σx2 and σy2. Imagine that X…

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Q: Experience has shown that a grade in MAT 2371 is normally distributed with mean 66 and variance 64…

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Q: Solve the two simultaneous equations to show how Q and P depend on u and v.

A: From given information we have given: The demand for a commodity is : Qd=β0+β1P+uWhere,Q denotes…

Q: B1 A B2 D B3

A: Probability that A malfunctions is 0.15, therefore efficiency of A is 0.85. The Probability that B…

Q: 6 The blood pressure of a diabetic taken at random has a normal distribution with mean 126 and…

A: Given that Diabetic--- Mean = 126 , variance = 60 Non diabetic --- Mean = 121 , variance = 40 P (…

Q: Let X and Y and Z are uncorrelated random variables with the same variance. Find the correlation…

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Q: Suppose the relationship between Y and X is given by: Y = 30 - 25X + error  What is the expected…

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Q: If x is functionally related to A and B as x = A + B, and if A and B are random variables, then x is…

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Q: For an experiment, roll 2 fair dice. Let the random variables, X = sum of the 2 dice  Y = larger…

A: For an experiment, roll 2 fair dice.Let the random variables, X = sum of the 2 dice Y = larger value…

Q: (x2) = 375 and (x) = 17; find variance in x (x2) = 1721 and (x) = 31, find variance in (xy) = 27,…

A: Introduction: Variance and covariance are two mathematical terms that are commonly used in…

Q: The demand for a commodity is given by Q = Bo + B₁P+u, where Q denotes quantity, P denotes price,…

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Q: X and Y are random variables that are the same normally distributed variables as in the previous…

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Q: Suppose the relationship between Y and X is given by: Y = 30 - 25X + error  What is the expected…

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Q: There are two independent random variables X and Y. X has mean 4 and standard deviation , and Y also…

A: Given  E(X)=mean of X=4 and E(Y)=mean of Y=4  X and Y are independent