Williams et al 4.53 (pg 210): New MBA matriculants were given a survey, classifi

Question

Williams et al 4.53 (pg 210): New MBA matriculants were given a survey, classified by age group, on if they applied to more than one school (Yes/No). The raw counts of the survey are given below. Give that the person applied to more than one school, what is the probability that the person is 24-26 years old? Given that the person is >=36, what is the probability that the person applied to more than one school? What is the probability that a person 24-26 years old applied to more than one school? Suppose a person is known to have applied to only one school. What is the probability that the person is 31 or more years old? Is the number of schools applied independent of age?

Explanation / Answer

P=favorable outcomes/total number of outcomes

a. the probability that a person aged 24-26 applied to more than one school will be 299/(299+207+185+66+51)=299/808

=0.37005

b.

The person aged more than 36 who applied to more than 1 school will be= 51/220 =0.231818

c.

24-26 who applied to more than one school will be= 299/(299+379) =0.441003

d. person more than 31 who applied to only one school =(193+169)/(193+169+268+379+201)

=362/1210

=0.299174

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