4. (10%) Let X be a continuous random variable with the density function
f(x) =
1/4 if x in (−2, 2)
0 otherwise
Using the method of distribution functions, find the probability density functions
of Y = X3 and Z = X4
.(10%) Let x be a continuous random variable with the density function
f(x)={((1)/(4) if xin(-2,2)),(0 otherwise ):}
Using the method of distribution functions, find the probability density functions
of Y=x^(3) and Z=x^(4).
4. (10%) Let X be a continuous random variable with the density function
1/4 if x E(-2,2) 0 otherwise
Using the method of distribution functions, find the probability density functions
of Y = X3 and Z= X4