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February 23rd, 2013, 03:35 AM  #1 
Member Joined: Dec 2011 Posts: 61 Thanks: 0  statistics uniform continuous distribution
I get confused about this question.please help me. A rectangle has a perimeter of 20cm. The length,x of one side of this rectangle is uniformly distributed between 1cm and 7cm. Find the probability that the length of the longer side of the rectangle is more than 6cm long. Can anyone show and explain the solution. In the mark scheme we use Y~U[3,9]. Why is it so?? Please help me. 
February 23rd, 2013, 10:39 AM  #2  
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: statistics uniform continuous distribution Quote:
Perimeter=2X+2Y=20 so ?+?=10 and Y=10X which means that since X~U(1,7) that means that Y~U(107,101)=U(3,9). The probability you ask is . [/color]  

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continuous, distribution, statistics, uniform 
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