At a Texas college, 60% of the students are from the southern part of the state, 30% are from the northern part of the state, and the remaining 10% are from out-of-state. All students must take and pass an Entry Level Math (ELM) test. We also know that if southerners, 60% of students have passed the ELM. If northerners, 70% have passed the ELM, and if out-of-staters, 90% of students have passed the ELM.

1)List the probability distribution (UseP,Prespectively for Pass /no Pass, and useN,S,O, for north, south, and out-of state)

2)If a randomly selected student has passed the ELM, what is the probability that the student is from out-of-state?

3)If a randomly selected student has not passed, what is the probability that the student is from southern Texas?

4)What is the probability that a randomly selected student is not from southern Texas and has not passed the ELM?

5)If a randomly selected student has not passed, what is the probability that the student is not from northern Texas?

6)If a randomly selected student is not from out-of-state, what is the probability that the student has passed?

7)If a randomly selected student is not from southern Texas, what is the probability that the student has not passed?

can you please help me with all seven questions.