3. Consider a coin with unknown probability of getting head (let us say ). Let X be a random variable taking value 1 if head appears and 0 if tail appears. Let us assume that we are given a set of 15 independent samples {1,1,0,0,1,1,1,0,1,0,1,1,1,0,1}. Assume that the probability mass function of X is parameterized by and is defined as p(x)=x(1)1x. Use the maximum likelihood estimator technique to find the value of . What will be the log-likelihood function for this problem? Find the optimal estimator for the parameter . [6 Marks]