An MBA new program matriculants survey provided the following data for 2020 students.  Applied to more than one school        Age Group Yes No 23 and under 207 201 24-26 299 379 27-30 185 268 31-35 66 193 36 and over 51 169 Part a) For a randomly selected MBA student, prepare a joint probability table for the experiment consisting of observing the student's age and whether the student applied to one or more schools.  Age Group Yes No   23 and under       24-26       27-30       31-35       36 and over               Part b) What is the probability that a randomly selected applicant is between 27-30?  (remember to answer all the questions starting with P(     ) = ? )  Part c) What is the probability that a randomly selected applicant applied to more than one school and between 31-35 age?  Part d) Given that a person is in the 36-and-over group, what is the probability that the person applied to more than one school ?  Part e) What is the probability that the person applied to more than one school given that a person is between 31-35?

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