Answer the question in the screenshot below. Please write legibly and show your work. Thank you!

3. Ed Whine is a student who has the usual student complaint: "Usually when I do my homework, the teacher never checks it and when I don't do my homework, the teacher usually checks it." Here are the statistics on this: The teacher checks homework 35% of the time. When she doesn't check homework, Ed has done his homework of the time. When she does check homework, Ed has done it 44% of the time. Determine the following probabilities. Include a Probability statement (ex. P(A and B) 2) and work shown. a. b. c. The probability that Ed does his homework. The probability that given Ed does his homework, the teacher does not check it. The probability that given Ed does not do his homework, the teacher does check it