Question: Let the variable X follow Normal distribution with mean and standard deviation . Determine whether following statement is True or False. (a) The density curve

Let the variable X follow Normal distribution with mean and standard deviation . Determine whether following statement is True or False. (a) The density curve of X is symmetric about 0. (b) If we define a variable Z as (X )/, then Z has the standard normal distribution. (c) The standard deviation of Z = (X )/ is 0. (d) P(X ) = 0.5.

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