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? O The random variable W is binomial, with a mean of 48 ounces and a standard deviation of two ounces. O The random variable W is binomial, with a mean of 12 ounces and a standard deviation of two ounces. O The random variable W is Normal, with a mean of 12 ounces and a standard deviation of one ounce. O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of two ounces. O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of four ounces.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Question
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?
O The random variable W is binomial, with a mean of 48 ounces and a standard deviation of two ounces.
O The random variable W is binomial, with a mean of 12 ounces and a standard deviation of two ounces.
O The random variable W is Normal, with a mean of 12 ounces and a standard deviation of one ounce.
O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of two ounces.
O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of four ounces.
Transcribed Image Text: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? O The random variable W is binomial, with a mean of 48 ounces and a standard deviation of two ounces. O The random variable W is binomial, with a mean of 12 ounces and a standard deviation of two ounces. O The random variable W is Normal, with a mean of 12 ounces and a standard deviation of one ounce. O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of two ounces. O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of four ounces.
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