
Probability and Statistics Basic Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 31st, 2016, 05:40 AM  #1 
Newbie Joined: Dec 2016 From: Pakistan Posts: 3 Thanks: 0  Pair of dice, normal distribution
A pair of fair dice rolled 180 times. Use the normal approximation method to find the probability that a total of 7 occurs At least 25 times Between 33 and 34 times inclusive Less than 27 times. how to solve? thanks 
December 31st, 2016, 12:56 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,805 Thanks: 716 
Prob. of a 7 is 1/6. Mean for 180 rolls is 30. Distribution is binomial. variance for 180 rolls is 180(1/6)(5/6). Therefore standard deviation is 5. Use normal table to find results. For the "between 33 and 34" question, exact answer is probably better.


Tags 
dice, distribution, normal, pair 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Expected value and p.m.f. for pair of dice.  WWRtelescoping  Algebra  1  March 6th, 2014 03:31 PM 
Multivariate normal distribution and marginal distribution  nakys  Advanced Statistics  0  October 3rd, 2013 08:27 AM 
Pair of dice.  hamburgertime  Advanced Statistics  1  April 16th, 2013 03:13 PM 
Probability of pair of rolling dice  pksinghal  Probability and Statistics  3  October 23rd, 2010 03:03 PM 
Probability of 4 of 6 dice containing exactly one pair  pksinghal  Probability and Statistics  3  February 7th, 2010 08:05 AM 