Apple products have become a household name in America, with the average household owning 2.6 Apple products (CNBC, October 10, 2017). Suppose that in the Midwest, 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. 

a. Are the events “household with kids” and “household without kids” mutually exclusive and exhaustive? Explain. 

b. What is the probability that a household is without kids? 

c. What is the probability that a household is with kids and owns an Apple product? 

d. What is the probability that a household is without kids and does not own an Apple product?