A firm offers week-long courses in desktop computing. Each student is graded sim

Question

A firm offers week-long courses in desktop computing. Each student is graded simply as Passing or Failing. Managers decide to compare performance of students with a college degree against those without. For purposes of discussion, let A be the event that student passes the courses and let B be the event that the student has a college degree. Suppose that, out of 293 students,

242 students passed,

85 students held college degrees, and

75 students held college degrees and passed.

A)Briefly describe the population for this study.

B)Briefly describe the sample set.

C)How many students failed the course?

D)How many type B students failed the course?

E)What, to the nearest percent, is the relative frequency of type B students?

F)What, to the nearest percent, is the relative frequency of students without a college degree who failed the course?

Explanation / Answer

n(A) = 243

n(B) = 85

n(A B) = 75

n(U) = 293

A) The population is all the students who took the week long course in desktop computing.

B) The sample is the 293 students who took the week long course in desktop computing.

C) Number of students who failed the course n(Ac) = n(U) - n(A) = 293 - 242 = 51.

D) Number of type B students who failed the course n(B Ac) = n(B) - n(B A) = 85 - 75 = 10.

E) n(B) = 85 = 85/293*100 = 29%

F) n(A U B) = n(A) + n(B) - n(A B)

= 242 + 85 - 75

= 252

n(Ac Bc) = n(U) - n(A U B)

= 293 - 252 = 41

Relative frequency = 41/293*100 = 13.99 = 14%.

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