Stat 2000, Section 001, Homework Assignment 10 (Due 4/3/2000 in class)

• 0) Reading: Section 4.4
  
  
• 1) Please work on the following textbook questions in Moore/McCabe:
  
  
  • Exercise 4.52, 4.53, 4.62 (3 Points each)
    
    
• 2) For the "Student - Point Gain/Loss" example used in class on 3/29/00, draw a probability histogram, draw a spike graph, determine the cumulative probability function F(y), and draw a graph of F(y). Mark clearly which points are included / not included at particular positions in the graph of F(y). (7 Points)
  
  
• 3) Start with Exercise 4.47 in Moore/McCabe: Work on this question independently first, then check the solution part in the textbook to make sure you use the appropriate formula to calculate the area of a triangle.
  
  Based on your previous results, indicate the cumulative distribution function F(y) [this function has to be defined over 4 different intervals] and draw a graph of F(y). Does this graph fulfill the conditions for a cdf we listed in class?
  
  Hint: To be able to determine the area under a triangle, we have to determine its width and height. This can be done by using the fact that each border line segment of a triangle can be decribed by a straight line. Determine functions y = a x + b for these line segments first, then determine the area under these line segments. All you need is simple geometry here! (9 Points)