SOLUTION: The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.24 ounces and a standard deviation of 0.16 ounce. The cans

Question 245939: The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.24 ounces and a standard deviation of 0.16 ounce. The cans only hold 12.40 ounces of soda. Every can that has more than 12.40 ounces of soda poured into it causes a spill and the can needs to go through a special cleaning process before it can be sold. What is the probability a randomly selected can will need to go through this process?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.24 ounces and a standard deviation of 0.16 ounce. The cans only hold 12.40 ounces of soda. Every can that has more than 12.40 ounces of soda poured into it causes a spill and the can needs to go through a special cleaning process before it can be sold. What is the probability a randomly selected can will need to go through this process?
--------------
Find the z-value for 12.40
---
z(12.40) = (12.40-12.24)/0.16 = 1
------------------
P(x > 12.4) = P(z > 1) = 0.1587..
===================================
Cheers,
Stan H.
RELATED QUESTIONS
The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a... (answered by Fombitz,Edwin McCravy)

The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a... (answered by Boreal)

Hi,I am trying to do a practice sheet to study for the final and I am really struggling,... (answered by stanbon)

The amount of corn chips dispensed into a 12-ounce bag by the dispensing machine has... (answered by kara14)

The amount of corn chips dispensed into a 12-ounce bag by the dispensing machine has been (answered by scott8148)

The amount of corn chips dispensed into a 24-ounce bag by the dispensing machine has been (answered by ewatrrr)

A soda machine dispenses soda into 16-ounce cups. Tests shows that the actual amount of... (answered by Boreal)

A soda machine dispenses soda into 16-ounce cups. Tests shows that the actual amount of... (answered by CPhill)