A basketball player has a 0.603 probability of making a free throw. If the player shoots 28 free throws, what is the probability that she makes no more than 20 of them? (Round your answer to 3 decimal places if necessary.) Sorry, that's incorrect. Try again?

To solve this, we can use the binomial probability formula, where \( n \) is the total number of trials (28 free throws), \( k \) is the number of successful trials (makes), and \( p \) is the probability of success on each trial (0.603). The probability of making no more than 20 shots involves summing the probabilities of making 0 through 20 shots. Using a statistical calculator or software for binomial distribution calculations can simplify this process. The probability of making no more than 20 out of 28 shots can be computed as the cumulative probability using: \[ P(X \leq 20) = \sum_{k=0}^{20} \binom{28}{k} (0.603)^k (0.397)^{28-k} \] Evaluating this will give the desired probability. Be sure to double-check your calculations, as rounding can impact the final answer when working with probabilities! A common mistake in this problem would be to forget to sum all probabilities or to mix up the parameters of the binomial distribution.