Question 928115
p(left-handed) = .08,  n = 20
Using a TI calculator 0r similarly a Casio fx-115 ES plus
P(x = 0LH) = binompdf(20, .08, 0)= .1887  0r  = .92^20
P(x ≤ 2LH) = binomcdf(20, .08, 2)= .7879
mean = 1.6  s = sqrt(1.6*.92) = 1.2133
Re TY
Not quite sure what You mean by 'count'

P(x ≤ 2LH) = P(0) + P(1) + P(2) = .92^20 + (20C1).08^1(.92)^19 + 20C2(.08)^2(.92)^18
..........
mean(or expected value) = .08*20 = 1.6