b) A factory produces bags of sugar with a labelled weight of 500 g. The weights of the bags are normally distributed with a mean of 500 g and a standard deviation of 3 g. A bag that weighs less than 495 g is rejected by the factory for being underweight. a) Write down the percentage of bags that weigh more than 500 g. b) Find the probability that a randomly chosen bag is rejected for being underweight. c) A bag that weighs more than k grams is rejected by the factory for being overweight. The factory rejects 2% of bags for being overweight. Find the value of k.
b) A factory produces bags of sugar with a labelled weight of 500 g. The weights of the bags are normally distributed with a mean of 500 g and a standard deviation of 3 g. A bag that weighs less than 495 g is rejected by the factory for being underweight. a) Write down the percentage of bags that weigh more than 500 g. b) Find the probability that a randomly chosen bag is rejected for being underweight. c) A bag that weighs more than k grams is rejected by the factory for being overweight. The factory rejects 2% of bags for being overweight. Find the value of k.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:b) A factory produces bags of sugar with a labelled weight of 500 g. The weights of the bags are normally
distributed with a mean of 500 g and a standard deviation of 3 g. A bag that weighs less than 495 g is rejected
by the factory for being underweight.
a) Write down the percentage of bags that weigh more than 500 g.
b) Find the probability that a randomly chosen bag is rejected for being underweight.
c) A bag that weighs more than k grams is rejected by the factory for being overweight.
The factory rejects 2% of bags for being overweight. Find the value of k.
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