Answer:
a. Yes.
b. The probability that a household is without kids:
= 0.3167
c. The probability of a household is with kids and owns an Apple product:
= 61%
d. The probability that a household is without kids and does not own an Apple product:
= 52%
Step-by-step explanation:
a) Data and Calculations:
Probability of a household owning an Apple product = 51%
This implies that the probability of a household not owning an Apple product = 49% (100 - 51)%.
Probability of a household with kids owning an Apple product = 61%
This implies that the probability of a household with kids not owning an Apple product = 39% (100 - 61)%.
Probability of a household without kids owning an Apple product = 48%
This also implies that a household without kids not owning an Apple product = 52% (100 - 48)%.
Sample of households = 1,200
Households with kids = 820
Probability of households with kids = 0.6833 (820/1,200)
Therefore, the probability of households without kids = 0.3167 (380/1200)
b) The events "household with kids" and "household without kids" are mutually exclusive and exhaustive because (a) the two events are separate and do not overlap and (b) the two events are inclusive of all possible options. It is either a household has kids or it does not. In this situation, no middle ground exists.
and 
. Then
) is then
