2. The mass of beads filled into a package is (continuous) uniformly distributed between 220 and 226 grams. a. (10) Determine the mean and standard deviation of the mass of beads in a randomly chosen package. b. (15) What is the probability that a package is filled with less than the advertised target of 221 grams? c. (15) What is the mass of beads that is exceeded by 95% of the packages?

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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2. The mass of beads filled into a package is (continuous) uniformly distributed between 220 and
226 grams.
a. (10) Determine the mean and standard deviation of the mass of beads in a randomly chosen
package.
b. (15) What is the probability that a package is filled with less than the advertised target of 221
grams?
c. (15) What is the mass of beads that is exceeded by 95% of the packages?
Transcribed Image Text:2. The mass of beads filled into a package is (continuous) uniformly distributed between 220 and 226 grams. a. (10) Determine the mean and standard deviation of the mass of beads in a randomly chosen package. b. (15) What is the probability that a package is filled with less than the advertised target of 221 grams? c. (15) What is the mass of beads that is exceeded by 95% of the packages?
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