A coffee vending machine is regulated weekly so that the amount of coffee poured out from the valve is 8.0 oz.?
The distribution is normal with standard deviation, SD = 0.4 ounces. Suppose the cup can only holds up to 8.5 ounces.
(a) Find the probability of spilling
(b) A regular customer complains about the spilling problem whenever it occurs. He buys 1 cup of coffee every day. What is the probability of complaining more than 2 times in a week (7 days)?
(c) 400 cups were sold in a day. Find the probability that there are more than 40 spilling.
Best answer:
Answer by Raj K
Average = 8.0 oz.
Stadard deviation= o.4
Standard normal variable for 8.5 oz= (8.5-8.0)/0.4 =1.25
Area of normal distribution curve from z = 0 to z =+1.25 is 0.8944
Hence area to the right of z = 1.25 = 1- 0.8944 = 0.1056
Hence there is 10.56 % probability that the coffe poured out is in excess of 8.5 oz. in other words there is spilling.
Give your answer to this question below!
0 Comments.