A food shop buys organic oats in bags of mean weight 1000 grams. It is known that the weights of the bags in any batch are normally distributed with standard deviation 150 grams. A bag of oats is randomly selected, calculate the following probabilities, rounding your final answers to 4 decimal places. (a) The bag is exactly 750 grams (b) The bag is less than 1225 grams (C) Bags in the top 5% contains too many oats and must be repackaged. What is the smallest weight a bag could have and still needs to be repackaged?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
Question

A food shop buys organic oats in bags of mean weight 1000 grams. It is known that the weights of the bags in any batch are normally distributed with standard deviation 150 grams. A bag of oats is randomly selected, calculate the following probabilities, rounding your final answers to 4 decimal places.

(a) The bag is exactly 750 grams

(b) The bag is less than 1225 grams

(C) Bags in the top 5% contains too many oats and must be repackaged. What is the smallest weight a bag could have and still needs to be repackaged?

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