A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are asked whether or not they are happy with their majors. The following table gives the results of the survey. Assume that none of these 250 students is majoring in both areas.

a. If one student is selected at random from this group, find the probability that this student is
i. Happy with the choice of major
ii. A psychology major
iii. A communication major given that the student is happy with the choice of major
iv. Unhappy with the choice of major given that the student is a psychology major
v. A psychology major and is happy with that major
vi. A communication major or is unhappy with his or her major
b. Are the events €œpsychology major€ and €œhappy with major€ independent? Are they mutually exclusive? Explain why or why not.

Transcribed Image Text:

Psychology Communication Happy 80 115 Unhappy 20 35