A statistics instructor wishes to find out the relationship between the classifi

Question

A statistics instructor wishes to find out the relationship between the classification of a student and the student's grade in the course. The following is breakdown of three sections of an introductory statistics course: What is the probability that the student is a junior and makes a B in the course? What is the probability that the student does not make a A in the course, given that the student is a senior? What is the probability that the student makes a D or F in the course? Let A be the event that a sophomore is taking the course. Let B be the event that the student makes a C in the course. Are the events A and B independent? Are the events A and B mutually exclusive? The output of a firm that produces small, inexpensive electronic parts is classifies as follows:

Explanation / Answer

Total number of students = 3+31 + 29+38 = 101

a) P(junior and Course B) = 8 / 101 = 0.0792

b) P(doesn't A / senior) = P(doesn't A and senior) / P(senior) = (28/101) / (38/101) = 0.7368

c) P(D or F couse) = P(D course) + P(Fcourse) - P(D and Fcourse)

= (11/101) + (9/101) - 0 = 0.198

d) P(A) = 31/101 and P(B) = 29/101

e) P(A) P(B) = (31/101) (29/101) = 0.08812

P(A and B) = 7/101 = 0.0693

Here A and B are not independent since P(A and B) not = P(A) P(B)

Here A and B are not mutucally exclusive event sicne P(A and B) not = 0

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