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April 23rd, 2017, 11:37 PM  #1 
Newbie Joined: Apr 2017 From: India Posts: 14 Thanks: 0  exponential distribution
Suppose that accidents occur in a large industrial plant at a rate of $\lambda$=1/10 per day. Suppose we begin observing the occurrence of these accidents at the starting of the work on Monday. Let X be the number of days until the first accident occurs. Then the distribution of X is: F(x)= $1e^{x/10}$ for x$\ge$0 = 0 ,x$\lt$0 Now , the source I am referring says that : The probability that the first week is accident free is P[X$\gt$5] = $e^{5/10}$ Well my question is why is it not P[X$\gt$7]?As we are the finding the probability that the first week is accident free that means there should not be accident in the first week and hence my question. Also , the probability that the first accident occurs on Wednesday of the second week is given as: p[7$\lt$X$\le$8] Why is it not calculated between 9 and 10? 

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distribution, exponential 
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