Exercises, with full solutions, for measure-theoretic probability theory?

Trig substitution; why can we ignore the absolute value?

Expected outcome for repeated dice rolls with dice fixing

Finitely Many Extensions of Fixed Degree of a Local Field

Does $\sin(x+iy) = x+iy$ have infinitely many solutions?

Prove that $a+b$ can't divide $a^a+b^b$ nor $a^b+b^a$

Differential equation degree doubt

How can we think and/or write rigorously about integration by substitution?

Flat algebra over a Dedekind domain

Find the least number which when divided by 2, 3, 4, 5, 6 leaves a remainder of 1 but it is divided by 7 completely.

Explicit formula for floor(x)?

Properties of the matrix square root

Connection between the Laplace transform and generating functions

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