In a large city, 37% of all restaurants accept both master and visa credit cards, and 50% accept master cards and 60% accept visa cards. A tourist visiting the city picks at random a restaurant at which to have lunch. Define the following events: M = {the randomly chosen restaurant accepts master credit cards}, V = (the randomly chosen restaurant accepts visa credit cards). Part a Are M and V disjoint? O A. No. B. Yes. . C. Insufficient information to tell. Part b Are M and V independent? A. No. O B. Yes. O C. Insufficient information to tell. Part c Is M complement of V? O A. No. O B. Yes. O C. Insufficient information to tell. Part d Which of the following shows independence between two events M and V? [CHECK ALL THAT APPLY] O A. P(V given M) is equal to P(V). O B. The events M and V are not disjoint. OC. The events M and V are disjoint. OD. P(M and V) is equal to P(M) x P(V). DE. P(M given V) is equal to P(M). OF. P(M given V) is equal to P(V). Part e What is the probability that a given restaurant does not accept master or visa credit cards