The weight of apples at the grocery store follows a Normal distribution with a mean of μ = 5 ounces and a standard deviation of σ = 1 ounce. Suppose we pick nine apples at random from the basket and find their total weight, W. Which of the following statements describes the random variable W?

The random variable W is Normal, with a mean of five ounces and a standard deviation of one ounce.

The random variable W is Normal, with a mean of 45 ounces and a standard deviation of three ounces.

The random variable W is Normal, with a mean of five ounces and a standard deviation of three ounces.

The random variable W is binomial, with a mean of 45 ounces and a standard deviation of nine ounces.

The random variable W is binomial, with a mean of five ounces and a standard deviation of nine ounces.