A survey of 1000 people was conducted. The following facts were ascertained:
• 40% of the respondents are male
• 21% have an annual income under $25,000
• 57.2% have an annual income of at least $25,000 but less than $50,000
• 6% are males with an annual income under $25,000
• 6.3% are females with an annual income of $50,000 or more
a. Create a contingency table based on these probabilities.
b. What is the probability that a person has an annual income of $50,000 or more if the person is male?
c. What is the probability that a person is female if the person has an annual income under $50,000?
d. Does having an annual income of $50,000 or more depend on the person's gender?