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.

1) Is P(earning under 25|having a BSc) = P(earning under 25)?

2) Is P(earning under 25 and having a BSc) = P(earning under 25).P(having a BSc)?

Totalunder 2525.0-49.950-74.975-99.99,961Not HS0.0570548990.04691060.0188374740.00730986222,099HS0.0666838450.0928989910.0681756540.03576272120,067Some College0.0380682430.0713084520.0634425520.04407616413,787Bachelor's0.0120022780.0283986110.0386242810.0350032557,822Beyond Bachelor's0.003932950.0112428120.0172778560.01683031473,736Total0.1777422150.2507594660.2063578170.138982315Cell I140.1350900510.2930590210.39020.0642ience.Statistical question. If, in ell.ve evidence Shora Ebrahimi:This is the probablity of earning more than 100000, conditional on having a bachelor's degreeShora Ebrahimi:This is the probablity of earning less than 25000, conditional on having a bachelor's degree

100 plus Total0.0049772160.1350900510.036183140.2997043510.0552511660.2721465770.0729494410.1869778670.0567972230.1060811540.2261581861

Instructor mark out of 10:b. Explain the event shown in part a in words. P(S I M)=0.34. P(S) = .325. Of 200 students sampeled in KPU courtyard, 100 say they are taking a math course (M), 65 say they astatistics course (S) and 34 are taking both.a. Determine P(MU Sd. Are events M and S mutually exclusive? Provide evidence for your answer using the information givee. If a student has taken the math course, what is the probability that she has also taken the statistics cto answer any of the questions below, you need to find other probabilities, please show them as well.

c. What is the probability that a student in this sample has not taken either course?

0.34P(S I M) does not equal P(S). P(S I M)=0.34. P(S) = .325. Of 200 students sampeled in KPU courtyard, 100 say they are taking a math course (M), 65 say they astatistics course (S) and 34 are taking both.a. Determine P(MU Sd. Are events M and S mutually exclusive? Provide evidence for your answer using the information givee. If a student has taken the math course, what is the probability that she has also taken the statistics cto answer any of the questions below, you need to find other probabilities, please show them as well.):