In the STA 2023 Spring 2021 student survey two of the questi…
In the STA 2023 Spring 2021 student survey two of the questions asked were gender and the number of pets you have. The results are given in the table below. 0 to 1 2 to 3 4 to 5 More than 5 Total Male 343 159 29 20 551 Female 625 374 86 37 1122 Other 5 6 2 1 14 Total 973 539 117 58 1687 a. What is the probability that a student’s gender is male and they have more than 5 pets? b. What is the probability that a student has 4 to 5 pets given that their gender is other? c. Two students are selected at random. What is the probability that both students are female? Assume these are independent events.