Birth order, finis. In Exercises 1 and 2 we looked at the birth orders and college choices of some Intro Stats students. For these students:
a) Are enrolling in Agriculture and Human Ecology disjoint? Explain.
b) Are enrolling in Agriculture and Human Ecology independent? Explain.
c) Are being firstborn and enrolling in Human Ecology disjoint? Explain.
d) Are being firstborn and enrolling in Human Ecology independent? Explain.
Exercise 1:
Birth order, take 2. Look again at the data about birth order of Intro Stats students and their choices of colleges shown in Exercise 2.
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 2:
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?