SHEET 10

Question 1:

Given the following histogram that describes the anticipated range of the GPA for a newly admitted student.

GPA	Probability
1 to 2	0.2
2 to 3	0.5
3 to 4	0.3

Generate ten random samples for the GPA, using the following uniformly distributed random numbers U[0,1]: 0.35, 0.97, 0.22, 0.15, 0.60, 0.43, 0.79, 0.52, 0.81, 0.65.

Hint: Use the following Formula for linear interpolation:

 

Question 2:

Given the following CDF for variable x, generate random samples for x, using the following uniformly distributed random numbers U[0,1]: 0.35, 0.97, 0.22, 0.15, 0.60, 0.43, 0.79, 0.52, 0.81, 0.65.

x	F(x)
1	0
2	0.2
3	0.7
4	1

Hint: Also use linear interpolation (similar to question 1).