Let X1, ..., Xn be IID from Uniform(θ1, θ2). Use the method of moments to estimate θ1 and θ2, the method of quantile to estimate θ1 and θ2 and find the MLE of θ1 and θ2.

Q: 3921 2141 8394861 45838 1644 889 1461516 7903 4467 2451 10948617 60074 3407 1212 4129284 14689

A: Given: ∑y=34604∑x=16252∑xy=61768493∑x2=29698414n=10

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Q: Scores Frequency 1-20 17 21 - 40 41 - 60 61 - 80 81 - 100 27 33 23 10

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