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question: 4.Suppose you have a distribution, X, with mean = 11 and standard deviation = 4....

question: 4.Suppose you have a distribution, X, with mean = 11 and standard deviation = 4. Define a new random variable Y = 2X - 2. Find the mean and standard deviation of Y.

question 5:In testing a certain kind of missile, target accuracy is measured by the average distance X (from the target) at which the missile explodes. The distance X is measured in miles and the sampling distribution of X is given by:

X 0 10 50 100
P(X) 1⁄22 1⁄11 2⁄11 15⁄22


Calculate the mean of this sampling distribution.

question6:In testing a certain kind of missile, target accuracy is measured by the average distance X (from the target) at which the missile explodes. The distance X is measured in miles and the sampling distribution of X is given by:

X 0 10 50 100
P(X) 1⁄8 1⁄4 1⁄2 1⁄8


Calculate the variance of this sampling distribution.

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