Question 1131283
If the probability is exactly 40%, then the mean is np=100 and the variance np(1-p) or 100*.6=24 and the sd sqrt (24)=4.90
exactly 95 is 250C95*.4^95*.6^155=0.0421
using normal approximation, this is (94.5-100)/4.90 and (95.5-100)/4.9 or z between -1.12 and -0.92 for a probability of 0.0474

between 105 and 110 I would use the normal approximation using 105.5 and 109.5 unless it included 105 and 110, and then I would use 104.5 and 110.5.  There are two possible answers.  Using the first, it would be 
z=(105.5-100)/4.9 or +1.12 and z=9.5/4.9 or 1.94
This has a probability of 0.1052

at most 85 is z < (84.5-100)/4.9 or z<=-3.16 and probability of 0.0008
at least 95, I would use (94.5-100)/4.9 or z>-1.12 which is 0.8686