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Let X be a random variable representing the time between successive arrivals at a checkout counter in a supermarket. The values of X in minutes (rounded to the nearest minute) are

1 2 3 7 11 4 13

12 7 3 2 11 7 2

Assume that the pdf of X is f(x) = (1/θ)e-(x/θ). Use these data to ?nd MLE θˆ. How can you use this estimate you have just derived?

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