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

Q: A class contains 50 students. The probability of failing in one of the courses for each : 0.035, but…

A: From the given information, There are 50 students. The probability of failing in one of the courses…

Q: If the variances for independent random variables X and Y is Var(X)=0.15 and Var(Y)=5.62 then Var…

A: Given that  Var(X)=0.15 Var(Y)=5.62

Q: 20 samples from a shipment of 100 items are tested. The total number of defective items in the…

A: Given that 20 samples are tested from 100 items which contains 86 defective items. And X denote the…

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: 2) Let G and H be two independent unbiased estimators of θ. Assume that the variance of G is two…

A: An estimator T of θ is said to be unbiased if Expectation of T is θ i.e., E(T) = θ Variance of T is…

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: (TRUE / FALSE) For two random variables, X and Y, Var(X+Y) = Var(X)+Var(Y) if X and Y are…

A: Let X is a random variable. Then the variance of X, denoted by Var(X), is a measure of dispersion of…

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: When the store opens, Arish, Meera, and Zenobia enter. There are two service counters. Arish begins…

A: Given, The mean service time for Arish as 4 minutes, for Meera as 5 minutes and for Zenobia as 6…

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: E and F are independent variables with variances of 7 and 9, respectively. Given this, Var(2E - F +…

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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: Find the (а) теаns (b) varignces

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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…

A:

Q: A medical clinic uses a pregnancy test to confirm pregnancy in patients who suspect they are…

A: 80% are pregnant and 20% not pregnant

Q: If X and Y are independent random variable find covariance between X+Y and X-Y. Answer:

A: Given that X and Y are independent random variables. We need to find covariance between X+Y and X-Y

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: If the mean of 3 observations = 5 , and the variance = 25 . If we add a new observation which is…

A: Given, If the mean of 3 observations = 5 , and the variance = 25 . we add a new observation which is…

Q: The variance of the random variable aX is equal to a times the variance of X.

A: The variance of the random variable aX is equal to a2 times the variance of X i.e.  We have to prove…

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…

A:

Q: 2. A random variable X has only two values a and b with P(X = a) = p , P(X = b) = q (p+q = 1). Find…

A: Let X be a random variable with the values a and b. The probability distribution table is…

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: A class contains 50 students. The probability of failing in one of the courses for each student is…

A: From the given information, There are 50 students. The probability of failing in one of the courses…

Q: 4. Let X be a random variable and c and d two real constants. Without recurring to variance…

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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: An IT company employs two sales engineers. Engineer 1 does the work of estimating cost for 70% of…

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Q: Find the variance of X + 3Y + Z + 6 in terms of the variances and covariances of X, Y, and Z.

A: Given:  X + 3Y + Z + 6

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