I know for a fact B is wrong, so you can mark that off. I got C.
This is how you do it :) let me know if you have any questions. Hope this helps :)
The best option is C. 0.0823mean = np = 48*1/4 = 12
SD = sqrt(npq) = sqrt(48 *1/4 *3/4) = 3
aplying continuity correction for using a continuous distribution for a discrete one,
"exactly 15" means 14.5 to 15.5
z1= (14.5-12)/3 = 0.833 , z2 = (15.5-12)/3 = 1.167
P(0.833 < z < 1.167) = 0.0808