The vending machine in the school cafeteria usually dispenses about 6 ounces of soft drink. Lately, it is not working properly, and the variability of how much soft drink it dispenses has been getting greater. The amounts are normally distributed with a standard deviation of 0.2 ounce.

What percent of the time will you get less than 6 ounces of drink?
a.
13.5%
c.
50%
b.
34%
d.
95%

Question

The vending machine in the school cafeteria usually dispenses about 6 ounces of soft drink. Lately, it is not working properly, and the variability of how much soft drink it dispenses has been getting greater. The amounts are normally distributed with a standard deviation of 0.2 ounce.
 
What percent of the time will you get less than 6 ounces of  drink?
a.
13.5%
c.
50%
b.
34%
d.
95%

anonymous · Answer

Ok what is the mean?

anonymous · Answer

6?

anonymous · Answer

right. Now what does your book say about how much of the normal distribution curve is less than the mean?

anonymous · Answer

.2?

anonymous · Answer

No look in your book about the normal distribution curve. It should tell you some things about the area under the curve (or the probability)...It shoud say ___ % of the curve is less than the mean.

anonymous · Answer

its online

anonymous · Answer

|dw:1375797687520:dw| So in the picture... values that are smaller than the mean are to the left of the mean... How much of the curve is "smaller" than the mean?

anonymous · Answer

5.8

anonymous · Answer

No how much of the curve is on the left of the mean? I think you need to re-read your lesson... because you seem to be guessing.

anonymous · Answer

this stuff is hard

anonymous · Answer

I understand, but you don't seem to have the basics of the lesson. I think you need to review the lesson...Let's get through this problem and then you can review the lesson. Based on my picture ho much of the bell curve is left of the line that I drew to represent the mean?

anonymous · Answer

|dw:1375798116929:dw| The shaded portion is the part smaller thatn the mean. How much of that is shaded?

anonymous · Answer

wouldnt u take 6-.2

anonymous · Answer

No because the probability is the percent of the curve shaded between the boudaries set up. In the problem they are asking for the probability of being less than 6 oz  (less than the mean)...Less than the mean IS everything to the left of the mean. Then mean is that line I drew. How much of the curve is to the left of the line I drew? In other words what percent of the curve did I shade?

anonymous · Answer

50

anonymous · Answer

Right. so 50% of the time there will be less than the mean (this is always true in normal distribution - 50% below the mean, 50% above). In this case that means 50% of the time there will be less than 6oz since 6 oz is the mean.

anonymous · Answer

Please go back and re-read the lesson. It really will help.

anonymous · Answer

still dont get it

anonymous · Answer

Perhaps you should meet with a tutor in person. This is pretty tough stuff to break down online.