SOLUTION: STATISTICS. please help. 2.An automatic soda dispenser is regulated so that it dispenses an average of 200 ml per cup. Suppose the amount of drink dispensed is normally distribut

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: STATISTICS. please help. 2.An automatic soda dispenser is regulated so that it dispenses an average of 200 ml per cup. Suppose the amount of drink dispensed is normally distribut      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1113530: STATISTICS. please help.
2.An automatic soda dispenser is regulated so that it dispenses an average of 200 ml per cup. Suppose the amount of drink dispensed is normally distributed with a standard deviation equal to 15 ml.
a.What is the probability that a cup contains between 191 and 209 ml?
b.What is the probability that a cup will overflow if 230 ml cups are used?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean(/sd
z=(191-200)/15=-0.6
z=(209-200)/15=+0.6
the probability of z between those values is 0.4515
----
z=(230-200)/15=+2
probability z > 2 is 0.0228