Observe that for a random variable Y that takes on values 0 and​ 1, the expected value of Y is defined as​ follows: ​Now, suppose that X is a Bernoulli random variable with success probability Pr ​(X = 1​) ​= p. Use the information above to answer the following questions. Show that . ​= ​( ) ​+ ​( p) ​= ​(Use the tool palette on the right to insert superscripts. Enter you answer in the same format as above.​) Suppose that p​ = . Compute the mean of X. ​= ​(Round your response to two decimal places​) Compute the variance of X. ​= ​(Round your response to three decimal places​) Compute the skewness of X using the following formula​: Skewness of X​ = ​(Round your response to three decimal places​) Compute the kurtosis of X using the following formula​: Kurtosis of X​ = ​(Round your response to three decimal places​) Enter your answer in each of the answer boxes.