Instructor mark out of 10:Household Incomes ($1000s)Under 2525.0-49.950-74.975-99.9100 plusNot HS grad4,2073,4591,389539367HS grad4,9176,8505,0272,6372,668Some college2,8075,2584,6783,2504,074Bachelor’s8852,0942,8482,5815,379Beyond Bachelor’s2908291,2741,2414,188Total13,10618,49015,21610,24816,676a. Develop a joint probability table. b. What is the probability of a head of household not being a highschool graduate?f. Explain what type of probability is represented in the crosstabulation above.
Two ways of checking this:The following crosstabulation shows household income by educational level of the head of household (SAbstract of the United Ststes 2008). Your work has to show the steps that you've taken to answer each qorder to answer any of the questions below, you need to find other probabilities, please show them as wec. What is the probability that a randomly selected head of household has a bachelor’s degree or more education?d. What is the probability of a household headed by someone with a bachelor's degree earning $100,000 or more?e. What is the probability of a household headed by someone with a bachelor's degree earning less than $25,000?g. Is having an income of $100,000 or more independent of having a Bachelor's degree? Explain and givfor your answer.