To find the probability of getting exactly 9 successes in a binomial distribution with \( n = 50 \) and \( p = 0.7 \), we can use the continuity correction.
For a binomial distribution, the probability notation for exactly \( k \) successes is typically written as:
\[ P(X = k) \]
However, when using the continuity correction for a normal approximation to the binomial distribution, we need to find the probability over an interval. Specifically, to approximate \( P(X = 9) \) using the normal distribution, we consider the interval \( (8.5, 9.5) \).
Thus, using probability notation with the continuity correction, we write:
\[ P(8.5 < X < 9.5) \]
This interval accounts for the fact that we are looking for the exact value of 9 within a continuous approximation.
In conclusion, the probability notation with continuity correction is:
\[ P(8.5 < X < 9.5) \]