Suppose you have a coin that lands on "heads" with probability p, 0 < p < 1. You don't know the value of p however. So you decide to run an experiment to get an estimate of p using the maximum likelihood approach. Specifically, you flip the coin 10 times and record the number of "heads" you observed. Then you repeat this process until you end up with a total of 15 data points y1,y2,...,y15 with each data point representing the number of "heads" in a round of 10 flips of this coin.