Most households in North America now own at least one SUV car. A market research firm conducted a survey and estimated that the probability of owning an SUV car is 59% for households with kids and 51% for households without kids. Suppose that a representative community with 1400 households is selected, of which 900 households have kids and the rest are without kids. Based on the aforementioned market research firm analysis, calculate the following probabilities. Show your detailed calculations. a) Consider two events "household with kids" and "household without kids". Are these two events mutually exclusive? Are they complementary? explain. (1 mark) b) What is the probability that a household has no kids? (1 mark) c) What is the probability that a household has kids and owns an SUV car? (2 marks) d) What is the probability that a household owns an SUV car? (2 marks) e) What is the probability that a household has no kids and does not own an SUV car? (2 marks)