Apple products have become a household name in America, with 51% of all households owning at least one Apple product (CNN, March 19, 2012). The likelihood of owning an Apple product is 61% for households with kids and 48% for households without kids. Suppose there are 1,200 households in a representative community, of which 820 are with kids and the rest are without kids. Let event A correspond to "Household with kids", and B to "Household owns an Apple product".
a. Are the events "household with kids" and "household without kids" mutually exclusive and exhaustive?
b. What is the probability that a household is without kids? (Round your answer to 4 decimal places.)
c. What is the probability that a household is with kids and owns an Apple product? (Do not round intermediate calculations. Round your answer to 4 decimal places.)