Final answer:
To calculate the probability of obtaining a score greater than 19 in a binomial distribution, you need to subtract the cumulative probability up to 19 from 1.
Step-by-step explanation:
The question is asking about the probability of obtaining a score greater than 19 in a binomial distribution. In order to calculate this probability, we need to determine the cumulative probability up to 19 using the binomial distribution, and then subtract it from 1.
To do this, we need to know the number of trials (n) and the probability of success (p). Once we have these values, we can use the formula P(X > x) = 1 - P(X <= x), where X is the binomial random variable, x is the score we want to find the probability for, and P(X <= x) is the cumulative probability up to x.
For example, if we have n = 100 trials and p = 0.5, and we want to find the probability of getting a score greater than 19, we would calculate P(X > 19) = 1 - P(X <= 19), using the binomial distribution formula.