9. According to the U.S. Census Bureau, the probability that a randomly selected head of household in the United States earns more than $100,000 per year is 0.202. The probability that a randomly selected head of household in the United States earns more than $100,000 per year, given that the head of household has earned a bachelor's degree , is 0.412. Are the events "earn more than $100,000 per year" and " earned a bachelor's degree independent ?Answer number 9 thank you!show work!

9. According to the US. Census Bureau, the probability that a randomly selected head of household in the United States earns more than $100, 000 per year is 0.202. The probability that a randomly selected head of household in the United States earns more than $100,000 per year, given that the head of household has earned a bachelor's degree, is 0.412. Are the events \"earn more than $100, 000 per year\" and \"earned a bachelor's degree\" independent