Suppose your favorite coffee machine offers 13 ounce cups of coffee. The actual amount of coffee put in the cup by the machine varies according to a normal distribution, with mean equal to 14 ounces and standard deviation equal to 0.68 ounces. Complete parts a through h. For parts a through e, do not use a standard normal distribution table or technology. a. Approximately what percentage of cups will have between 12.64 and 15.36 ounces of coffee? The percentage of cups that will have between 12.64 and 15.36 ounces of coffee is 95 %. (Type an integer or a decimal. Do not round.) b. Approximately what percentage of cups will be filled with less than 12.64 ounces? The percentage of cups that will be filled with less than 12.64 ounces is. (Type an integer or a decimal. Do not round.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose your favorite coffee machine offers 13 ounce cups of coffee. The actual amount of coffee put in the cup by the machine varies according to a normal distribution, with mean equal to 14
ounces and standard deviation equal to 0.68 ounces. Complete parts a through h. For parts a through e, do not use a standard normal distribution table or technology.
Z
1
a. Approximately what percentage of cups will have between 12.64 and 15.36 ounces of coffee?
The percentage of cups that will have between 12.64 and 15.36 ounces of coffee is 95 %.
(Type an integer or a decimal. Do not round.)
b. Approximately what percentage of cups will be filled with less than 12.64 ounces?
The percentage of cups that will be filled with less than 12.64 ounces is%.
(Type an integer or a decimal. Do not round.)
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Transcribed Image Text:this F Q 4 Suppose your favorite coffee machine offers 13 ounce cups of coffee. The actual amount of coffee put in the cup by the machine varies according to a normal distribution, with mean equal to 14 ounces and standard deviation equal to 0.68 ounces. Complete parts a through h. For parts a through e, do not use a standard normal distribution table or technology. Z 1 a. Approximately what percentage of cups will have between 12.64 and 15.36 ounces of coffee? The percentage of cups that will have between 12.64 and 15.36 ounces of coffee is 95 %. (Type an integer or a decimal. Do not round.) b. Approximately what percentage of cups will be filled with less than 12.64 ounces? The percentage of cups that will be filled with less than 12.64 ounces is%. (Type an integer or a decimal. Do not round.) View an example W S X command # 3 Get more help- 20 IME D C R F % 5-1 V T G 6 B 2.25 Y H 7 U N J 8 DE w 1 M ( 9 K DD FR O I H ) O L command P Clear all : 1 : FRE Y option [ + ? 1 H Check answer delete 14 return shift
Expert Solution
Step 1: Mention the given information

Let X be the amount of coffee put in the cup by the machine.

Given X follows a normal distribution with mean 14 and standard deviation 0.68.

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