Hi
p(7) = 1/5 = .2 q = .8
900 draws
mean = .2*900 = 180 7's expected
SD = sqrt(900*.55*.45) = 12
P(more than 160 7's) that is somewhat less than everything to the right of z = -2,
or (P = 98%)which would be P(more than 156 7's)
Estimate would be somewhat less than the .98 or 98%.