5. The weight X; of a widget has the normal distribution with the 50g and standard deviation of 0.8g. (a) Find the probability that a single widget weighs between 50.5g. (b) Find the 85th percentile of the weights. (c) Let X be the average weight of 30 widgets. Find the m standard deviation of X. Assume that the weights are indep (d) Approximate the probability that X is between 49.5 and

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 5CR
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5. The weight X; of a widget has the normal distribution with the
50g and standard deviation of 0.8g.
(a) Find the probability that a single widget weighs between
50.5g.
(b) Find the 85th percentile of the weights.
(c) Let X be the average weight of 30 widgets. Find the m
standard deviation of X. Assume that the weights are indep
(d) Approximate the probability that X is between 49.5 and
Transcribed Image Text:5. The weight X; of a widget has the normal distribution with the 50g and standard deviation of 0.8g. (a) Find the probability that a single widget weighs between 50.5g. (b) Find the 85th percentile of the weights. (c) Let X be the average weight of 30 widgets. Find the m standard deviation of X. Assume that the weights are indep (d) Approximate the probability that X is between 49.5 and
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