To find the probability of obtaining at least 9 successes in a binomial distribution with parameters \( n = 50 \) and \( p = 0.7 \), we can express this in probability notation as follows:
We are interested in \( P(X \geq 9) \).
Using the continuity correction, since the binomial distribution is discrete, we convert this to a normal approximation:
\[ P(X \geq 9) = P\left(X > 8.5\right) \]
Thus, the problem in probability notation using the continuity correction is:
\[ P(X > 8.5) \]
This approximates the probability using the normal distribution, which is valid when \( n \) is large and \( p \) is not too close to 0 or 1. To compute this, you would typically standardize and use the Z-table or a calculator that provides the cumulative distribution function (CDF) for the normal distribution.