Problem 1. The time interval between the arrivals of successive planes at a certain airport is measured by a random variable X with probability density function -2/5 5e f(x) = 0, a >0 x < 0 where x is the time (in minutes) between the arrivals of randomly selected pair of successive planes. (1) What is the probability that two successive planes selected at random will arrive within 5 minutes of one another? (2) What is the probability that two successive airplanes arrive more than 6 minutes apart? (3) If Tony arrive at the airport just in time to see a plane landing, how long would he expect to wait for the next arrival.?

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A: Step 1: Step 2: Step 3: Step 4:

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A:

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.