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...
icon
Related questions
Question
100%
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.
Transcribed Image Text: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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON