Question

A cola-dispensing machine is set to dispense a mean of 2.024 liters into a container labeled 2 liters. Actual quantities dispensed vary and the amounts are normally distributed with a standard deviation of 0.040 liters. What is the probability a container will have less than 2 liters?
0.0375
0.1614
0.4734
0.2743

Answer 1

Using this webpage you don't even have to find the z-scores (you may if you wish)

just enter the mean, the SD, click on "below" and enter 2 in that field and "recalculate"

to get .2743

http://davidmlane.com/hyperstat/z_table.html

perfect substitute for those terrible tables in the back of old textbooks

Answer 2

Thank you