The fill volume of an automated filling machine used for filling cans of water is normally distributed with a mean of (13.4 + R) fluid ounces and a standard deviation of (0.13+(R/10)) fluid ounce. b. What is the probability that a fill volume is more than (R+13) fluid ounces? c. What is the probability that a fill volume less than (12.1+ R) or greater than (12.6+R) fluid ounces? d. What is the fill volume that includes approximately (R+2)% of all cans to complete filling? (That is (R+2)% of all cans will be lesser than that value)?

The fill volume of an automated filling machine used for filling cans of water is normally distributed with a mean of (13.4 + R) fluid ounces and a standard deviation of (0.13+(R/10)) fluid ounce. b. What is the probability that a fill volume is more than (R+13) fluid ounces? c. What is the probability that a fill volume less than (12.1+ R) or greater than (12.6+R) fluid ounces? d. What is the fill volume that includes approximately (R+2)% of all cans to complete filling? (That is (R+2)% of all cans will be lesser than that value)?

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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Question

The fill volume of an automated filling machine used for filling cans of water is normally distributed with
a mean of (13.4 + R) fluid ounces and a standard deviation of (0.13+(R/10)) fluid ounce.
b. What is the probability that a fill volume is more than (R+13) fluid ounces?
c. What is the probability that a fill volume less than (12.1+ R) or greater than (12.6+R) fluid ounces?
d. What is the fill volume that includes approximately (R+2)% of all cans to complete filling? (That
is (R+2)% of all cans will be lesser than that value)?
R=31

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