Research suggests that 68% of office buildings have kitchens, 21% have gyms, and 18% have both. Complete parts a through d below. . . . . . a) What is the probability that an office building has a kitchen but not a gym? (Do not round. Type an integer or a decimal.) b) If an office building has a kitchen, what is the probability that it has a gym as well? (Round to three decimal places as needed.) c) Are having a kitchen and having a gym independent events? Explain. O A. The two events cannot be considered independent because the probability of having a kitchen and the probability of having a kitchen given that the office building has a gym are significantly different. O B. The two events can be considered independent because the probability of having a kitchen and the probability of having a kitchen given that the office building has a gym are roughly the same. O C. The two events can be considered independent because an office building could have a kitchen, or a gym, or both a kitchen and a gym. O D. There is not enough information to determine if the two events are independent. d) Are having a kitchen and having a gym mutually exclusive? Explain. O A. No, because an office can have a kitchen and a gym. O B. Yes because some offices have only a kitchen, while other offices have only a gym. O C. Yes, because an office having a kitchen does not change the probability that an office has a gym. O D. There is not enough information given to determine if having a kitchen and and having a gym are mutually exclusive