My Math Forum  

Go Back   My Math Forum > High School Math Forum > Probability and Statistics

Probability and Statistics Basic Probability and Statistics Math Forum


Reply
 
LinkBack Thread Tools Display Modes
September 26th, 2013, 01:03 AM   #1
Newbie
 
Joined: Apr 2013

Posts: 7
Thanks: 0

Binomial probability question

Hello,

The question I am having a problem with is as follows -

"A random group of dogs manage to to escape from an enclosure. Find the smallest number of dogs in the group if the probability that at least eight of the dogs in the group has less than four spots is greater than 0.99."

The probability distribution is given as X = number of spots, where X(2) = 0.3, X(3) = 0.4, X(4) = 0.23, X(5) = 0.05 and X(6) = 0.02. So Pr(less than four spots) = 0.7.

I have written the following inequality, but I don't think it can be solved.

[attachment=1:udorqyml]dogs.jpg[/attachment:udorqyml]

I answered a previous question which was similar, except it was a probability grater than 0.99 for at least one dog with less than four spots, not at least eight with less than four spots. Below is my working for that one. I'm hoping the working for both questions is similar and I'm just missing something.

[attachment=0:udorqyml]dogs0.jpg[/attachment:udorqyml]

Any assistance would be greatly appreciated.
Thank you,
- deSitter
Attached Images
File Type: jpg dogs.jpg (31.0 KB, 73 views)
File Type: jpg dogs0.jpg (53.6 KB, 73 views)
deSitter is offline  
 
Reply

  My Math Forum > High School Math Forum > Probability and Statistics

Tags
binomial, probability, question



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Binomial Probability texaslonghorn15 Advanced Statistics 1 June 15th, 2013 12:58 PM
Binomial Theorem (probability) Shaw18 Probability and Statistics 2 May 20th, 2012 06:51 AM
binomial probability panky Probability and Statistics 5 December 14th, 2011 01:02 PM
binomial probability... bleh foliocb Advanced Statistics 5 November 20th, 2011 06:09 PM
Binomial Probability koudai8 Probability and Statistics 0 September 21st, 2011 03:57 PM





Copyright © 2019 My Math Forum. All rights reserved.