Final answer:
The cumulative distribution of a binomial random variable can be evaluated by summing up the probabilities of all possible values up to a given value.
Step-by-step explanation:
The cumulative distribution of a binomial random variable can be evaluated by summing up the probabilities of all possible values of the random variable up to a given value.
For example, if you want to find the cumulative distribution up to x=3 for a binomial distribution with n=300 and p=0.53, you would calculate: P(X <= 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Using the binomial distribution formula P(X = x) = (n choose x) * p^x * (1 - p)^(n - x), you can substitute the values and calculate the probabilities for each value of x.