need ASAP. please include steps. thanks

1. Random variable X has density function f(x) =( a/1,000,000)x^6 for 0 of10 a/1000000(x7/7) =1 > a = 7/10. Why? All values of f(x) must be positive and the area beneath the curve must equal one. Find F(x) Find E[X] Find E[ 100X] Find VAR(X) E[100x] = Find P[2