A coffee vending machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of coffee is normally distributed with a standard deviation of 15 milliliters, answer the following. a. What fraction of the cups will contain more than 224 milliliters? b. What is the probability a cup contains between 190 and 210 milliliters? C. How many cups will overflow if 230-millilter drinks? cups are used for 1000 coffee drinks?

A coffee vending machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of coffee is normally distributed with a standard deviation of 15 milliliters, answer the following. a. What fraction of the cups will contain more than 224 milliliters? b. What is the probability a cup contains between 190 and 210 milliliters? C. How many cups will overflow if 230-millilter drinks? cups are used for 1000 coffee drinks?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

A coffee vending machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of coffee is normally distributed with a standard deviation of 15 milliliters, answer the following.
a. What fraction of the cups will contain more than 224 milliliters?
b. What is the probability a cup contains between 190 and 210 milliliters?
C. How many cups will overflow if 230-millilter drinks? cups are used for 1000 coffee drinks?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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