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February 16th, 2017, 08:30 PM  #1 
Member Joined: Nov 2013 Posts: 34 Thanks: 1  Problem
A person goes every morning at the same time at a intersection where there's a traffic light which is in green 20% of the time. Suppose each morning represents an independent essay and with constant probability every day of the week. What is the probability that the light of the traffic light is not green for 10 consecutive mornings? Solve this question in two ways, (i) using the binomial distribution and (ii) using the geometric distribution. Make sure they lead to the same result. Binomial X is Binomial with n=10 and p=0.2 P(X=0) = (10 0) * (0.2)^0 * ( 0.8 ) ^10 = 0.1074 I don't know how to solve this question using the geometric distribution Thank you! 
February 17th, 2017, 02:50 PM  #2  
Global Moderator Joined: May 2007 Posts: 6,181 Thanks: 479  Quote:
 
February 17th, 2017, 06:23 PM  #3 
Member Joined: Nov 2013 Posts: 34 Thanks: 1  
February 18th, 2017, 02:54 PM  #4 
Global Moderator Joined: May 2007 Posts: 6,181 Thanks: 479  