Justify your answers and detail your calculations briefly. [ please check uploaded files] A survey provided the following data for 2018 students: Age group

Justify your answers and detail your calculations briefly.  [ please check uploaded files]

A survey provided the following data for 2018 students:

          Age group                                                                Applied to more than one school

                                                                                                     Yes                                         No

         23 and under                                                                     207                                        201

         24-26                                                                                  299                                        379

         27-30                                                                                  185                                        268

         31-35                                                                                   66                                         193

         36 and over                                                                         51                                         169

-   Randomly select an applicant. What is the probability that he/she is 23 or under? What is the probability that he/she is older than 26? What is the probability that he/she applied to more than one school?

-  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?

-  What is the probability that a person is 24–26 years old or applied to more than one school?

-  Suppose a person is known to have applied to only one school. What is the probability that he/she is 31 or more years old?

-  Is the number of schools applied to independent of age? Explain