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This exercise illustrates the differences between mean and standard deviation for a probabilityversus mean and standard deviation for a sample. To avoid square roots, it asks for variance rather than standard deviation. A. Suppose Xis a random variable with pmf WWEE meme Find its mean and standard deviation. B. Suppose Yis a random variable whose pmf is unknown. Five trials generate the following values of Y: 3,2,2,1,3. Find the sample mean and sample standard deviation for this data. C. As before, assume Yis a random variable whose pmf is unknown. Ten trials generate the following values of Y: 3,2,2,1,3,2,1,3,3,2. Find the sample mean and sample standard deviation for this data. D. As before, assume Yis a random variable whose pmf is unknown. Eight trials generate the following values of Y: 3,2,2,1,3,2,1,3. Find the sample mean and sample standard deviation for this data. In the latter three situations, it is possiblethat Y= X. However, in the case of Y, we are restricted to conclusions from data sets