Let the random variables X and y be independent and obey the uniform distribution on the interval [0, a], and then calculate the probability density of the random variable z = x / y

Let the random variables X and y be independent and obey the uniform distribution on the interval [0, a], and then calculate the probability density of the random variable z = x / y

It is convenient to draw a picture to solve the problem of uniform distribution
Firstly, (x, y) obeys two-dimensional uniform distribution, and the density function is the reciprocal of the area, i.e. 1 / A ^ 2
P{Z