Final answer:
To find P(X = 11) for a binomial distribution, we can use the formula P(X = k) = (n choose k) * p^k * (1-p)^(n-k).
Step-by-step explanation:
To find P(X = 11) for a binomial distribution, we can use the formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
Where n is the number of trials and p is the probability of success in each trial.
Plugging in the values for this problem, we have:
P(X = 11) = (20 choose 11) * (0.1)^11 * (0.9)^9
Calculating this expression will give us the probability of getting exactly 11 successes out of 20 trials, correct to 4 decimal places.