1. Let the random variable x obey the uniform distribution on the interval (0,2), and try to find the probability density of the random variable y = x2. (X2 is the square of X, and the small 2 above cannot be found on Baidu.) 2、

1. Let the random variable x obey the uniform distribution on the interval (0,2), and try to find the probability density of the random variable y = x2. (X2 is the square of X, and the small 2 above cannot be found on Baidu.) 2、

1、
Method 1
The probability density function FY (y) can be obtained by solving the cumulative distribution function FY (y) of Y and deriving FY (y)
The cumulative distribution function FX (x) = P (x) of X is known