The probability that a household has an annual income of under $100,000 is 0.72. The probability that a household donates less than $200 per year to charity is 0.63. The probability that a household has an annual income of at least $100,000 and donates at least $200 per year to charity is 0.15.
a. Create a contingency table .based on these probabilities.
b. What is the probability that a household donates less than $200 per year to charity, given that its annual income is less than $100,000?
c. What is the probability that a household donates less than $200 per year to charity, given that its annual income is at least $100,000?
d. Based on the results of parts (b) and (c), does donating less than $200 per year to charity depend on the household's annual income?