An MBA new-matriculants survey provided the foilowing data for 2014 students App

Question

An MBA new-matriculants survey provided the foilowing data for 2014 students Applied to More Than One School 23 and under 24-26 27-30 31-35 36 and over Yes 219 299 184 56 57 217 379 252 182 169 Age Round your answers to four decimal places a. For a randomly selected MBA student, prepare a joint probability table for the experiment consisting of observing the studert's age and whether the student applied to one or more school No Total 23 and under 24-26 27-30 31-35 36 and over Total b.. What is the probabity that a randomly selected applicant 23 or under? c. What is the probability that a randomly selected applicant is older than 26 d. what is the probablity that a randomly selected applicant applied to more than one school

Explanation / Answer

a) Joint Probability Table

B) Probability of randomly selected applicant is 23 or under = Total no. of students falls under 23or under /total students

= (219+217) /2014 =0.2164

C) Probability of randomly selected applicant is older than 26 = Total no. of students falls above 26 of age / Total students

= (184+252+56+182+57+169) / 2014 = 900/2014 = 0.4469

D) Probability of random applicant applied for more than one school = Total Students applied for more than one school / Total Students

= (219+299+184+56+57) / 2014 = 815/2014 = 0.4047

XYZ Yes No Total 23 & under 10.8739% 10.7746% 21.6485% 24-26 14.8461% 18.8183% 33.6643% 27-30 9.1360% 12.5124% 21.6485% 31-35 2.7805% 9.0367% 11.8173% 36 & above 2.8302% 8.3913% 11.2214% ToTAL 40.4667% 59.5333% 100.0000%

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