A GMAC MBA new-matriculants survey provided the following data for 2018 students

Question

A GMAC MBA new-matriculants survey provided the following data for 2018 students Applied to More 23 and under 24-26 27-30 31-35 36 and over Than One School Yes 207 299 185 No 201 379 268 Age Group 51 169 a. Given that a person applied to more than one school, what is the probability that the person is 24-26 years old (to 2 decimals)? b. Given that a person is in the 36-and-over age group, what is the probability that the person applied to more than one school (to 4 decimals)? c. What is the probability that a person is 24-26 years old or applied to more than one school (to 4 decimals)? d. 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 (to 4 decimals)? e. Is the number of schools applied to independent of age? Select

Explanation / Answer

The answers for the questions would be as follows: -

a)

P(24-26 years old | Applied to more than one school)=299/808=0.37

b)

P(Applied to more than one school | 36 and over)=51/220=0.2318

c)

P(24-26 years old | Total)=678/2018+P(Applied to more than one school | Total)=808/2018=0.7364

d)

P(31 or more years old | Applied to only one school)=362/1210=0.2992

e)

Number of schools applied to is independent of age

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