Question 1176921
normal approximation
mean is np=226*0.75=169.5
variance is np(1-p)=169.5*0.25=42.475
sd is sqrt(V)=6.51
want z > (177.5-169.5)/6.51, using the continuity correction factor
z> 8/6.51, or 1.23
probability is 0.1093

exact value is 1-0.8918=0.1082