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)?

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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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
Transcribed Image Text: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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