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A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.8 ounces and standard deviation of 0.1 ounce. Examine the figure below and answer the following questions. Area Under a Normal Curve 2.35% 13.5% 13.5% 2.35% 34% 34% - 30 -2o -e *+ 20 68% 95% 99.7% (a) Estimate the probability using the empirical rule that the machine will overflow an 8-ounce cup. (Round your answer to three decimal places.) (b) Estimate the probability using the empirical rule that the machine will not overflow an 8-ounce cup. (Round your answer to three decimal places.) (c) The machine has just been loaded with 815 cups. How many of these cups do you expect willl overflow when served? Round your answer to a whole number. about cups

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.8 ounces and standard deviation of 0.1 ounce. Examine the figure below and answer the following questions. Area Under a Normal Curve 2.35% 13.5% 13.5% 2.35% 34% 34% - 30 -2o -e *+ 20 68% 95% 99.7% (a) Estimate the probability using the empirical rule that the machine will overflow an 8-ounce cup. (Round your answer to three decimal places.) (b) Estimate the probability using the empirical rule that the machine will not overflow an 8-ounce cup. (Round your answer to three decimal places.) (c) The machine has just been loaded with 815 cups. How many of these cups do you expect willl overflow when served? Round your answer to a whole number. about cups

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.8 ounces and standard deviation of 0.1 ounce. Examine the figure below and answer the following questions. Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% 4- 30 - 2o + 20 a+ 30 68% 95% 99.7% (a) Estimate the probability using the empirical rule that the machine will overflow an 8-ounce cup. (Round your answer to three decimal places.) (b) Estimate the probability using the empirical rule that the machine will not overflow an 8-ounce cup. (Round your answer to three decimal places.) (c) The machine has just been loaded with 815 cups. How many of these cups do you expect will overflow when served? Round your answer to a whole number. about cups
Transcribed Image Text:A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.8 ounces and standard deviation of 0.1 ounce. Examine the figure below and answer the following questions. Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% 4- 30 - 2o + 20 a+ 30 68% 95% 99.7% (a) Estimate the probability using the empirical rule that the machine will overflow an 8-ounce cup. (Round your answer to three decimal places.) (b) Estimate the probability using the empirical rule that the machine will not overflow an 8-ounce cup. (Round your answer to three decimal places.) (c) The machine has just been loaded with 815 cups. How many of these cups do you expect will overflow when served? Round your answer to a whole number. about cups
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