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December 31st, 2016, 06:40 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, 01:56 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,416 Thanks: 558 
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.


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