In Exercise 5.6, we assumed that if a radioactive particle is randomly located in a square with sides of unit length, a reasonable model for the joint density function for Y1 and Y2 is f (y1, y2) = 1, 0 y1 1, 0 y2 1, 0, elsewhere. a Are Y1 and Y2 independent? b Does the result from part (a) explain the results you obtained in Exercise 5.24 (d)(f)? Why?

Lecture 5: Probability 7.1 Random Circumstance and Interpretations of Probability - A few ways to think about PROBABILITY: (1) Personal or Subjective Probability - P(A) = the degree to which a given individual believes that the event A will happen. (2) Long term relative frequency P(A) = proportion of times ‘A’...