STA104/MTH135: Probability

Homework #5: Continuous Random Variables

Due: Friday, Oct 5

Text Problems are from Sheldon Ross, A First Course in Probability (6th/5th edns).

• Problems (pp. 228/232ff)
  

  1

  6

  15

  18

  26

  34/32

  38/36

• Exercises (pp. 232/237ff)

  26

  28

• Another Problem
  The probability density of X, the lifetime of a certain electronic device (measured in hours), is given by f(x)=10/x² for x>10 and f(x)=0 for x<10.
  1. Find P[X>20]
  2. Find the cumulative distribution function for X.
  3. Find the hazard function for X. Is it increasing or decreasing on the interval x>10?

Good Luck!