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A salad shop is selling fruit cups. Each fruit cup consists of two types of fruit, strawberries and blue berries. The weight of strawberries in a fruit cup is normally distributed with mean 160 grams and standard deviation The weight of blue berries in a fruit cup is normally distributed with mean u grams and standard 10 grams. deviation o grams. The weight of strawberries and blue berries are independent, and it is known that the weight of a fruit cup with average of 300 grams and standard deviation of 15 grams. (a) Find the values of u and o. Find the value (b) The weights of the middle 96.6% of fruit cups are between (300 - K, 300 + K) grams. of K. (c) The weights of the middle 96.6% of fruit cups are between (L1, L2) grams. Find the values of Ll and L2.

A salad shop is selling fruit cups. Each fruit cup consists of two types of fruit, strawberries and blue berries. The weight of strawberries in a fruit cup is normally distributed with mean 160 grams and standard deviation The weight of blue berries in a fruit cup is normally distributed with mean u grams and standard 10 grams. deviation o grams. The weight of strawberries and blue berries are independent, and it is known that the weight of a fruit cup with average of 300 grams and standard deviation of 15 grams. (a) Find the values of u and o. Find the value (b) The weights of the middle 96.6% of fruit cups are between (300 - K, 300 + K) grams. of K. (c) The weights of the middle 96.6% of fruit cups are between (L1, L2) grams. Find the values of Ll and L2.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A salad shop is selling fruit cups. Each fruit cup consists of two types of fruit, strawberries and blue berries. The weight of strawberries in a fruit cup is normally distributed with mean 160 grams and standard deviation 10 grams. The weight of blue berries in a fruit cup is normally distributed with mean u grams and standard deviation o grams. The weight of strawberries and blue berries are independent, and it is known that the weight of a fruit cup with average of 300 grams and standard deviation of 15 grams. (a) Find the values of u and o. (b) The weights of the middle 96.6% of fruit cups are between (300 – K, 300 + K) grams. Find the value of K. (c) The weights of the middle 96.6% of fruit cups are between (L1, L2) grams. Find the values of L1 and L2.
Transcribed Image Text:A salad shop is selling fruit cups. Each fruit cup consists of two types of fruit, strawberries and blue berries. The weight of strawberries in a fruit cup is normally distributed with mean 160 grams and standard deviation 10 grams. The weight of blue berries in a fruit cup is normally distributed with mean u grams and standard deviation o grams. The weight of strawberries and blue berries are independent, and it is known that the weight of a fruit cup with average of 300 grams and standard deviation of 15 grams. (a) Find the values of u and o. (b) The weights of the middle 96.6% of fruit cups are between (300 – K, 300 + K) grams. Find the value of K. (c) The weights of the middle 96.6% of fruit cups are between (L1, L2) grams. Find the values of L1 and L2.
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