Advanced Placement (AP)

The weight of a loaf of bakery bread at the grocery store follows a Normal distribution with a mean of μ = 12 ounces and a standard deviation of σ = 1 ounce. Suppose we pick four loaves at random from the bin and find their total weight, W. Which of the following statements describes the random variable W? The random variable W is binomial, with a mean of 48 ounces and a standard deviation of two ounces.
The random variable W is binomial, with a mean of 12 ounces and a standard deviation of two ounces.
The random variable W is Normal, with a mean of 12 ounces and a standard deviation of one ounce.
The random variable W is Normal, with a mean of 48 ounces and a standard deviation of two ounces.
The random variable W is Normal, with a mean of 48 ounces and a standard deviation of four ounces.

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