[equalizing_difference] Add an exercise

[SylviaZhaooo]

Dear John @jstac,

I changed the Entrepreneur-worker interpretation part into an exercise and Fixes #385.

Thank @HumphreyYang for providing some other possible exercises.

Best,
Sylvia

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[mmcky]

thanks @SylviaZhaooo -- just a minor change to make a section for Exercises for consistency with other lectures.

[jstac]

Thanks @SylviaZhaooo .

It's important that exercises are completely self-contained, so the student knows exactly what to do. I'm not sure that's the case here. Also, the solution seems to contain discussion not requested in the exercise -- see "Now let’s study how the initial wage premium for successful entrepreneurs depend on the success probability."

@HumphreyYang @mmcky Could you please work with @SylviaZhaooo on this. If the exercise can't be made into something self-contained, then maybe you should close this PR.

[HumphreyYang]

Many thanks @jstac @SylviaZhaooo.

@SylviaZhaooo I can take over the exercise if you don't mind!

[SylviaZhaooo]

Many thanks @jstac @SylviaZhaooo.

@SylviaZhaooo I can take over the exercise if you don't mind!

Maybe we can talk about this together for some details.

[mmcky]

@HumphreyYang I just saw your comment. I will leave this open so you can make any edits re: sympy.

[SylviaZhaooo]

@HumphreyYang I revised the exercises by providing more conditions. What do you think of it?

[HumphreyYang]

@HumphreyYang I revised the exercises by providing more conditions. What do you think of it?

Many thanks @SylviaZhaooo. That's a great improvement! I will make some very small edits and it should be good to go.

[HumphreyYang]

Hi @mmcky,

I think this is ready for your review.

[mmcky]

thanks @SylviaZhaooo and @HumphreyYang.

[mmcky]

@jstac I think this is ready for your final editorial review.

@HumphreyYang and @SylviaZhaooo have done some nice work updating the exercise.

I think some improvements could be made with the flow -- perhaps helping to setup the exercise and a clear explanation of what the new model will achieve by introducing entrepreneurs?