Suppose X, Y, and Z are three independent normal random variables. X has an expected value of -7 and a standard deviation of 1.6; Y ha: expected value of -9 and a standard deviation of 1.8; Z has an expected value of 8 and a standard deviation of 1.4 Let T = 2X + 4Y+7Z Variable Mean(Expected Value) Standard Deviation Coefficient X Y -7 -9 1.6 1.8 2 4 Z 8 1.4 7

Q: The strength of a weld is determined by the formula X = O + 3N + 5C where X is the strength, and O,…

A: Given,μo = 0.1665μN = 0.0455μc = 0.0346σo = 0.0340σN = 0.011σc = 0.0131X = 0 + 3N+5Ca)          ∈(X)…

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A: Solution

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Q: Suppose that X is a random variable with mean 30 and standard deviation 4. Y is a random variable…

A: The standard deviation of X is 4 and standard deviation of Y is 8.

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Q: Suppose X, Y, and Z are three independent normal random variables. X has an expected value of -7 and…

A: Given information: T=2X+4Y+7Z Consider, ET=E2X+4Y+7Z        =2EX+4EY+7EZ         =2*-7+4*-9+7*8…

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A: Comment: As per the our company guidelines we are supposed to answer only three subparts. Kindly…

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Q: Given independent random variables with means and standard deviations as shown, Mean SD X65 20 Y 45…

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A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

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A: True

Q: Suppose that X is a random variable with mean 30 and standard deviation 4. Y is a random variable…

A: Given E(X)=30, sd(X)=4  E(Y)=50 , sd(Y)=8  correlation (X,Y)=0 1) Z= 35-10X 2) Z= X+Y 3) Z= -2X - 2Y…