Final answer:
To estimate the probability p, we divide the number of successes (3) by the total number of trials (15), resulting in an estimated probability of success of 0.20, or 20%.
Step-by-step explanation:
To estimate the probability of success p in a binomial trial series with 15 measurements and 3 successes, we can use the relative frequency approach. In binomial experiments, each trial can only end in success or failure and every trial is independent with the same probability of success. The estimate of p is found by dividing the number of successes by the total number of trials.
In this case, with 3 successes out of 15 trials, the estimate of p would be:
p = Number of successes / Total number of trials
p = 3 / 15
p = 0.20
The estimated probability of a success on a single trial (p) is therefore 0.20, or 20%.