A coffee-vending machine is set to dispense amounts of coffee per cup that follows a normal distribution with a mean of 200 mL and a standard deviation of 10 mL. Let the random variable X be the amount of coffee (in mL) per cup.  a. What is the probability that a randomly selected cup will contain more than 225 mL of coffee as dispensed by the machine?  b. What proportion of the cups will contain anywhere between 198 and 215 mL of

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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  1. A coffee-vending machine is set to dispense amounts of coffee per cup that follows a normal distribution with a mean of 200 mL and a standard deviation of 10 mL. Let the random variable X be the amount of coffee (in mL) per cup. 

a. What is the probability that a randomly selected cup will contain more than 225 mL of coffee as dispensed by the machine? 

b. What proportion of the cups will contain anywhere between 198 and 215 mL of coffee? 

 

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