NAME: 3 (1s points; continues on next page) AI Starfleet Academy, engineering st
ID: 3058584 • Letter: N
Question
NAME: 3 (1s points; continues on next page) AI Starfleet Academy, engineering students must all take the r. The probability is o.65 that a student will pass on the first try can retake it once, with probability 0.90 that they will pass on the second try pass/fail course Warp Drive Mechanic if they fail the course they it once, Let X be the number of times a studeat takes the course, and let Y indicate passing: Y -o means that they failed both timaes and have to change majors, while Y -1 means that they passed. (a) Work out the joint probability mass function Pxr. Give your result as a table, and confirm that your PMF is normalized (b) Calculate the marginal PMF Py. (c) Calculate the expected number of times a student takes the course.Explanation / Answer
NAME: 3 (1s points; continues on next page) AI Starfleet Academy, engineering students must all take the r. The probability is o.65 that a student will pass on the first try can retake it once, with probability 0.90 that they will pass on the second try pass/fail course Warp Drive Mechanic if they fail the course they it once, Let X be the number of times a studeat takes the course, and let Y indicate passing: Y -o means that they failed both timaes and have to change majors, while Y -1 means that they passed. (a) Work out the joint probability mass function Pxr. Give your result as a table, and confirm that your PMF is normalized (b) Calculate the marginal PMF Py. (c) Calculate the expected number of times a student takes the course.
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