The weight, in kilograms, of cereal in a box can be modelled by a normal distribution with Mean u and standard deviation 5.4 kg. Given that 10% of boxes contains less than 18 kg. Find. a. The value of u. b. The percentage of boxes that contain more than (22) kg. c. If the machine settings are adjusted so that the weight of cereal in a box is normally distributed with mean (21) kg and standard deviation of a. Given that the probability of boxes contains between 18 kg and (24) kg is 0.9671, find the value of a.

The weight, in kilograms, of cereal in a box can be modelled by a normal distribution with Mean u and standard deviation 5.4 kg. Given that 10% of boxes contains less than 18 kg. Find. a. The value of u. b. The percentage of boxes that contain more than (22) kg. c. If the machine settings are adjusted so that the weight of cereal in a box is normally distributed with mean (21) kg and standard deviation of a. Given that the probability of boxes contains between 18 kg and (24) kg is 0.9671, find the value of a.

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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The weight, in kilograms, of cereal in a box can be modelled by a normal distribution with Mean u and
standard deviation 5.4 kg. Given that 10% of boxes contains less than 18 kg. Find.
a. The value of u.
b. The percentage of boxes that contain more than (22) kg.
c. If the machine settings are adjusted so that the weight of cereal in a box is normally
distributed with mean (21) kg and standard deviation of a. Given that the probability of
boxes contains between 18 kg and (24) kg is 0.9671, find the value of a.

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