Question: Birth order, take 2. Look again at the data about birth order of Intro Stats students and their choices of colleges shown in Exercise.
a) If we select a student at random, what's the probability the person is an Arts and Sciences student who is a second child (or more)?
b) Among the Arts and Sciences students, what's the probability a student was a second child (or more)?
c) Among second children (or more), what's the probability the student is enrolled in Arts and Sciences?
d) What's the probability that a first or only child is enrolled in the Agriculture College?
e) What is the probability that an Agriculture student is a first or only child?
Exercise: Birth order. A survey of students in a large Introductory Statistics class asked about their birth order (1 = oldest or only child) and which college of the university they were enrolled in. Here are the data:
Suppose we select a student at random from this class.
a) What is the probability we select a Human Ecology student?
b) What is the probability that we select a firstborn student?
c) What is the probability that the person is firstborn and a Human Ecology student?
d) What is the probability that the person is firstborn or a Human Ecology student?