Would like to know how to solve this. this for my understanding purpose. any detailed explanation is appreciated

A random variable X has probability density function f(z) = 6(1 -z) for 0 00. n i=1 (d) If X1, X2, ... are independent and identically distributed from this distribution, then use the central limit theorem to find an approximate value to the probability 500 Pr EX: 2 240). i=1