SOLUTION: the amount of coffee that is dispensed by an automatic machine is normally distributed with a mean of 7 ounces and a standard deviation of 1 ounce. if the machine is used 250 times

Question 616900: the amount of coffee that is dispensed by an automatic machine is normally distributed with a mean of 7 ounces and a standard deviation of 1 ounce. if the machine is used 250 times, about how many of these times would an 8 ounce cup overflow?
(a)40
(b)77
(c)85
(d)210
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

amount of coffee that is dispensed by an automatic machine is normally distributed with a 

mean of 7 ounces and a standard deviation of 1 ounce

Percentage of times an 8 ounce cup overflow? 

1 - P(z<1) = 1- NORMSDIST(1)= 1 - .84134 = .158655 OR 16% of the time

 .16* 250  = 40 , Number of times an 8 ounce cup would overflow

 

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