Order Statistics

martijnv99

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Nov 27, 2018
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Let X1, . . . , X15 be the (dry) times between a sequence of rain showers. Suppose that these random variables can all be modelled independently by an exponential distribution with a mean of 2 hours. In terms of order statistics, describe:

(a) The median time between the 15 rain showers. (No computation needed.)

(b) The probability that at most one of these dry intervals lasted less than 10minutes. Also compute this probability.

I have to make this for tomorrow. But I don't get it....
 
Let X1, . . . , X15 be the (dry) times between a sequence of rain showers. Suppose that these random variables can all be modelled independently by an exponential distribution with a mean of 2 hours. In terms of order statistics, describe:

(a) The median time between the 15 rain showers. (No computation needed.)

(b) The probability that at most one of these dry intervals lasted less than 10minutes. Also compute this probability.

I have to make this for tomorrow. But I don't get it....

(a) Mean and Median are closely related.

(b) p(at most one) = p(0) +p(1)
 
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