Question * The temperature in degrees Celsius at a certain location is normally distributed with a mean of 68 degrees and a standard deviation of 4 degrees. The probability that the temperature in...


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Question *<br>The temperature in degrees Celsius at a certain location is normally distributed with a<br>mean of 68 degrees and a standard deviation of 4 degrees. The probability that the<br>temperature in degrees Celsius at the same location is greater than 72 degrees is<br>0.1587<br>0.0228<br>None of the other options<br>0.0062<br>Question *<br>Let X and Y be two independent N(0,1) random variables and consider<br>Z = 3 + X+ 2XY? , W = 5+ X. Then Cov(Z, W) =<br>Hint:Cov(X, X) = Var(X), Cov(X + c, Y) = Cov(X, Y)<br>and Cov(X + Y, Z) = Cov(X,Z) + Cov(Y, Z)<br>None of the other options<br>

Extracted text: Question * The temperature in degrees Celsius at a certain location is normally distributed with a mean of 68 degrees and a standard deviation of 4 degrees. The probability that the temperature in degrees Celsius at the same location is greater than 72 degrees is 0.1587 0.0228 None of the other options 0.0062 Question * Let X and Y be two independent N(0,1) random variables and consider Z = 3 + X+ 2XY? , W = 5+ X. Then Cov(Z, W) = Hint:Cov(X, X) = Var(X), Cov(X + c, Y) = Cov(X, Y) and Cov(X + Y, Z) = Cov(X,Z) + Cov(Y, Z) None of the other options

Jun 11, 2022
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