Question

Using continuity correction probability of observing less than 10 successes answer?

Answer 1

For $P(X<10)$ then the highest discrete value possible would be 9. A discrete value of 9 would become $P(8.5<Y<9.5)$  with the continuity correction.

However, you want the ones smaller than that as well, so you can remove the lower limit of 8.5 causing it to become: $P(Y<9.5)$

Hence, the continuity correction probability of observing less than 10 successes answer is P(x<9.5)