No need for much calculation work

Suppose X , = 1, 2,..., 1000 is collection of independent and identically distributed (i.i.d.) random variables with Beta distribution. The density function is Jx(x) - Ka (1-2)040-1, 05151 0, elsewhere where K is a normalizing constant. The mean and variance are a+8' ox, (a+ 8)(a+8+ 1) (a) For the case a = 3 and A = 7 and NV = 1000, determine a lower bound on N P(290 X, 305)