The sample average is a random variable and a. is a single number and as a result cannot have a distribution.
b. has a probability distribution called its sampling distribution.
c. has a probability distribution called the standard normal distribution.
d. has a probability distribution that is the same as for the $Y _ { 1 } , \ldots , Y _ { n }$ i.i.d. variables.

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The Answer of The sample average is a random variable and a. is a single number and as a result cannot have a distribution.
b. has a probability distribution called its sampling distribution.
c. has a probability distribution called the standard normal distribution.
d. has a probability distribution that is the same as for the $Y _ { 1 } , \ldots , Y _ { n }$ i.i.d. variables.

The Sample Average Is a Random Variable and A Y1,…,YnY _ { 1 } , \ldots , Y _ { n }Y1​,…,Yn​

The Sample Average Is a Random Variable and A $Y _ { 1 } , \ldots , Y _ { n }$