The weight of apples at the grocery store follows a Normal distribution with a mean of = 5 ounces and a standard deviation of = 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? (3 points)

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

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.

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

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