SOLUTION: A soft drink vending machine dispenses soda into 12-ounce cups. Tests show that the actual amount
of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard
Algebra ->
Probability-and-statistics
-> SOLUTION: A soft drink vending machine dispenses soda into 12-ounce cups. Tests show that the actual amount
of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard
Log On
Question 1170299: A soft drink vending machine dispenses soda into 12-ounce cups. Tests show that the actual amount
of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviation of 0.2 oz.
a. What percent of cups will receive less than 11.25 oz of soda?
b. What percent of cups will receive between 11.2 oz and 11.55 oz of soda?
c. If a cup is chosen at random, what is the probability that the machine will overflow the cup? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! z=(x-mean)/sd
so a is z=-0.25/0.2 or 1.25 sd
z <1.25 with probability of 0.1056 or 10.56%
-
this is between -1.5 sd and 0.25 sd.
probability is 0.5319 or 53.19%
-
this would be z>2.5 with probability of 0.0062
