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 7.6 ounces and standard deviation of 0.4 ounce. Examine the figure below and answer the following questions. (a) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.) (b) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.) (c) The machine has just been loaded with 825 cups. How many of these cups do you expect will overflow when served? cups

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 7.6 ounces and standard deviation of 0.4 ounce. Examine the figure below and answer the following questions. (a) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.) (b) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.) (c) The machine has just been loaded with 825 cups. How many of these cups do you expect will overflow when served? cups
Area Under a Normal Curve
2.35%
13.5%
34%
34%
13.5%
2.35%
μ- 3σ μ- 2σ
u + 20 u+ 3ơ
68%
95%
99.7%
Transcribed Image Text:Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% μ- 3σ μ- 2σ u + 20 u+ 3ơ 68% 95% 99.7%
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Follow-up Question

It is given that a vending machine dispenses a mean of 7.6 ounces with a standard deviation of 0.4 ounce. For the vending machine to overflow an 8-ounce cup, the machine must pour more than 

8 − 7.6 =   ounces greater than the mean. This amount is   standard deviation(s) from the mean.
Area Under a Normal Curve
2.35% 13.5% 34%
μ-o
н-30 μ-20
34% 13.5% 2.35%
fe
68%
95%
99.7%
uto
με 20 με 30
Transcribed Image Text:Area Under a Normal Curve 2.35% 13.5% 34% μ-o н-30 μ-20 34% 13.5% 2.35% fe 68% 95% 99.7% uto με 20 με 30
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