students taking the Graduate Management Admissiers Test (GMAT were asked about t
ID: 3205754 • Letter: S
Question
students taking the Graduate Management Admissiers Test (GMAT were asked about their under maior and intent to pursue their MRA as a fur-time or part-time student. A ENoel File: data04-13 xts Engineering oorher Totals Intended Fall Time 32 Part-Time a. Deve og a joint probability table for these data (to 4 dedmais, Undergraduate Major Business Engineering other Totals b. Use the marginal probabilities ofundergraduate major ausiness, endine ring, or then to comment on which underoadate mayor produces the most ptersalmen students. a student intends to attend dasses full-time in pursut of an MaA degree, what isthe probablity that the student was an undergraduate en makor Oto 4 dedmalsj? d. student was an underoraduate business major, what is the probabaitythat the student intends to attend classes tul sme in pursuit of anMeA degree (to 4 decimals)? L Edenses at the student intends to attend dasses time in pursue of an new deore,and let den tethe event that the studert was underoraduate businema major. Are events Fand Bindependent? Justry your answer. The iout in the box below wa not be graded, but may be reviewed and ownsidered by your instructor,Explanation / Answer
dividing each term with 1305 will give us joint probability table
b) as business has highest value of 0.38; it produces the most preferential MBA student
c)probabilty of engg major given full time class =0.15/0.61=0.24625
d)given business major, probability of full time =0.27/0.38=0.701195
e)P(F) =0.61 ; P(B) =0.38
hence P(F)*P(B) =0.61*0.38=0.235816
also P(FnB)=0.27
f)as P(FnB) is not equal to P(F)*P(B) ; hence they are not independent/
business Engg Other Total full time 352 197 251 800 part time 150 161 194 505 502 358 445 1305Related Questions
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