Quality Learning Support For Better Outcomes
First time here? Checkout the FAQs!
x
MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

0 like 0 dislike
23 views
An airfreight company has various classes of freight. In one of these classes the average weight of packages is $10 \mathrm{~kg}$ and the variance of the weight distribution is $9 \mathrm{~kg}^{2}$. Assuming that the package weights are independent (it is not the case that a single company is sending a large number of identical packages, for instance), estimate the probability that 100 packages will have total weight more than $1020 \mathrm{~kg}$.
in Data Science & Statistics by Diamond (80,728 points) | 23 views

1 Answer

0 like 0 dislike
Best answer
The central limit theorem says $\sum W_{i}$ is approximately $N\left(1,000,30^{2}\right)$ so that $P\left(\sum W_{i}>1,020\right) \approx$ $P[Z>(1,020-1,000) / 30=0.67]=0.251$
by Diamond (80,728 points)

Related questions

0 like 0 dislike
0 answers
asked May 19 in Mathematics by MathsGee Diamond (80,728 points) | 25 views
0 like 0 dislike
0 answers
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

Join the MathsGee Answer Hub community and get study support for success - MathsGee Answer Hub provides answers to subject-specific educational questions for improved outcomes.



On MathsGee Answers, you can:


  1. Ask questions
  2. Answer questions
  3. Comment on Answers
  4. Vote on Questions and Answers
  5. Donate to your favourite users
  6. Create/Take Live Video Lessons

Posting on MathsGee


  1. Remember the human
  2. Behave like you would in real life
  3. Look for the original source of content
  4. Search for duplicates before posting
  5. Read the community's rules
MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

MathsGee ZOOM | eBook