A produce packing company prepares crates of apples for shipping to supermarkets. Suppose that the weight of a randomly selected crate is known to have a mean of 20 kg and a standard deviation of 1.2 kg. (a) If 100 crates prepared by this company are randomly selected, describe the approximate distribution of the mean weight of the sample. Justify your answer. (b) Suppose the same 100 crates are placed into a truck for shipment. On the way to its destination, the truck must stop at a weighing station. If the combined weight of the cargo (not counting the weight of the truck) is more

A produce packing company prepares crates of apples for shipping to supermarkets. Suppose that the weight of a randomly selected crate is known to have a mean of 20 kg and a standard deviation of 1.2 kg. (a) If 100 crates prepared by this company are randomly selected, describe the approximate distribution of the mean weight of the sample. Justify your answer. (b) Suppose the same 100 crates are placed into a truck for shipment. On the way to its destination, the truck must stop at a weighing station. If the combined weight of the cargo (not counting the weight of the truck) is more

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A produce packing company prepares crates of apples for shipping to

supermarkets. Suppose that the weight of a randomly selected crate is

known to have a mean of 20 kg and a standard deviation of 1.2 kg.

(a) If 100 crates prepared by this company are randomly selected,

describe the approximate distribution of the mean weight of the

sample. Justify your answer.

(b) Suppose the same 100 crates are placed into a truck for shipment.

On the way to its destination, the truck must stop at a weighing

station. If the combined weight of the cargo (not counting the

weight of the truck) is more than 2015 kg, the truck must undergo

further inspection. What is the approximate probability that this

will occur?

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