Imagine that you would like to predict if your favorite table will be free at your favorite restau- rant. The only additional piece of information you can collect, however, is if it is sunny or not sunny. You collect paired samples from visit of the form is sunny, is table free), where it is either sunny (1) or not sunny (0) and the table is either free (1) or not free(0). (a) [10 MARKS] How can this be formulated as a maximum likelihood problem? b 10 MARKS Assume you have collected data for the last 10 days and computed the maximum ikelihood solution to the problem formulated in (a). If it is sunny today, how would you predict if your table will be free? Imagine that you would like to predict if your favorite table will be free at your favorite restau- rant. The only additional piece of information you can collect, however, is if it is sunny or not sunny. You collect paired samples from visit of the form is sunny, is table free), where it is either sunny (1) or not sunny (0) and the table is either free (1) or not free(0). (a) [10 MARKS] How can this be formulated as a maximum likelihood problem? b 10 MARKS Assume you have collected data for the last 10 days and computed the maximum ikelihood solution to the problem formulated in (a). If it is sunny today, how would you predict if your table will be free