Stat problems for Wed, Sept 4

  1. Suppose we draw a card from a well shuffled deck.
    1. What is the probability that we draw a red four?
    2. What is the probability that we draw a red four or a diamond?
  2. Suppose we draw two cards from a well shuffled deck. What is the probability that we draw a red four and then a club?
  3. The table below shows a contingency table for class data from one of my classes a few years ago. The columns are indexed by gender and the rows by declared major. Suppose we randomly pick a student from this class.
    1. What is the probability that student is a statistics major?
    2. What is the probability that student is a Health and Wellness major or a man?
    3. What is the probability that student is a Health and Wellness major and a man?
Gender Female Male All
Major
Biology 1 1 2
Computer Science 1 2 3
Enviromental Science 2 0 2
Health and Wellness 2 3 5
Management 2 2 4
Mass Comm 2 0 2
Music 1 0 1
Music And Accounting 0 1 1
New Media 0 1 1
Political Science 0 2 2
Psychology 2 0 2
Sociology 1 0 1
Statistics 0 1 1
All 14 13 27