Question: Let X,..., Xn be a random sample from the distribution with c.d.f.: if x < 0 if 0xB if r>B where the parameters a

Let X,..., Xn be a random sample from the distribution with c.d.f.: if x < 0 if 0xB if r>B where the parameters a and 3 are positive. Find the MLEs of a and 3. P(X x; a, 3) = (x/3)* The length (in millimeters) of cuckoos' eggs found in hedge sparrow nests can be modeled with distribution in question #3. For the data 22.0, 23.9, 20.9, 23.8, 25.0, 24.0, 21.7, 23.8, 22.8, 23.1, 23.1, 23.5, 23.0, 24.0 write a short Python program to obtain the MLEs of a and 3 numerically. You cannot substitute the values into the expression obtained f must use optimization function (for example: minimize) to obtain the MLES. i You Pay attention to the possible restriction on the parameter space, and code it into your program (no hard coding, though). Please submit your python program (with file extension .py, not jupyter notebook file) online.

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