Engineering Probability Homework 8 due Mon 2018-04-09 2359 EST

Source

How to submit

Submit to LMS; see details in syllabus.

Questions

All questions except #1 are from the text.

Each part of a question is worth 5 points.

  1. (15 pts) This exercise shows how the sum of independent r.v. start looking like a normal distribution.
    1. Compute the pdf of the sum of 2,3,4, and 5 independent r.v. that are each U[0,1].
    2. Compute the mean and standard deviation of each pdf.
    3. For each sum, plot the pdf and overlay it with a plot of the pdf of the normal distribution with the same mean and standard deviation.
  2. (30 pts) Textbook problem 5.1 on page 288 - 6 parts: a, b, c, da, db, dc.
  3. (20 pts) Problem 5.2. (c) is 2 parts. Do all parts.
  4. (20 pts) Problem 5.3 (c) is 2 parts. Do all parts.
  5. (35 pts) Problem 5.12. (d) has 4 parts, giving 7 parts total.
  6. (35 pts) Problem 5.13. (d) has 3 parts, giving 7 total.

Total: 155.