SOLUTION: Suppose that the weight of cereal in boxes is labeled to have 20 oz is distributed with mean 20.1 oz and standard deviation .2 oz. Let Y be the weight of the cereal in a random box

Question 1028660: Suppose that the weight of cereal in boxes is labeled to have 20 oz is distributed with mean 20.1 oz and standard deviation .2 oz. Let Y be the weight of the cereal in a random box. A consumer buys a box of cereal and the weight is 19.7 oz. What is the probability that the weight of cereal is 19.7 oz or less, that is calculate P(Y<19.7)
I am having trouble finding P. Thanks!
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Use normal distribution
:
Calculate the z-value
:
z-value = (Y - mean) / standard deviation
:
z-value = (19.7 - 20.1) / .2 = -2
:
Consult table of z-values to find probability
:
P ( Y < 19.7 ) = 0.0228
:

RELATED QUESTIONS
Suppose the weight of cereal in a box is labeled to contain 20 oz and is distributed with (answered by stanbon)

The weight of oranges growing in an orchard is normally distributed with a mean weight of (answered by Boreal)

# 1.) The weight of full boxes of frosted Mini-wheat cereal are normally distributed with (answered by stanbon)

Boxes of a certain cereal say they hold 15 oz. To make sure they do, the... (answered by Theo)

A package of Toys Galore Cereal is marked "Net Wt. 12 oz." The actual weight is normally... (answered by Boreal)

Cans of regular Coke are labeled as containing 12 oz. Statistics students weighed the... (answered by josgarithmetic)

A certain size box of a common cereal is supposed to contain 18 ounces of cereal, but... (answered by rothauserc)

Statistic students weighed a sample of 9 randomly chosen cans of coke, and found the... (answered by rothauserc)

The weight of a can of stewed tomatoes is listed as 16 oz., but in actuality, the weight... (answered by stanbon)