MATH 403

Probability and Statistics for Engineers

(Updated )

News

The class is over.

Notes

On Correlation: xkcd

On Poisson Distributions: xkcd

Error in book: Figure 11.5 the steeper line should be a + bx, not α + βx.

General Information

Tools
Normal probability distribution applet
Binomial probability distribution applet
Student's t distribution applet
Chi-square distribution applet
Random sequence generator
Demonstrations
From Utah's Virtual Lab in Probability and Statistics:
Poisson process demonstration.
From Philip Stark's SticiGui project:
Scatter, Correlation, and Regression applet
Confidence intervals demonstration
From Rice University Virtual Lab in Statistics:
Mean and median demonstration.
"Regression by eye" quiz
Sampling distributions demonstration
Confidence intervals demonstration
Elsie Chan's Central limit theorem applet

Homework Assignments

  1. Due Wednesday, Sep. 2
    (PDF version)
    Ch 1 # 1, 5, 11 (do by hand), 13, 18abc, 19*, 22*, 25, 27.
    Ch 2 # 5, 9, 15, 51, 53, 67, 73.
    Problems A,B on the handout.
    * For #19, do parts a and c only, then describe the shape of the distribution and discuss what that says about the failure of pumps.
    * For #22, draw the location of mean and the spread of +/-1 SD on your histogram.
  2. Due Wednesday, Sep. 9
    (PDF version)
    Ch 2 # 25, 30, 31, 41, 49, 77, 79, 80, 93
    Problems A, B on the handout.
  3. Due Wednesday, Sep. 16
    (PDF version)
    Ch 3 # 1, 3, 7*, 9*, 17*, 19*, 25, 27*, 29*, 31*, 71 plus Problems A,B,C on the handout.
    * For these problems, sketch the PDF and CDF (if you found it), and shade any areas under the PDF which correspond to probabilities you're supposed to calculate.
  4. Due Wednesday, Sep. 23
    (PDF version)
    Ch 3 # 43, 47, 51, 60, 65
    Ch 4 # 1, 5, 7, 13, 17, 23, 29
    Plus Problems A,B,C,D on the handout.
  5. Due Monday, Sep. 28
    (PDF version)
    Ch 4 # 33, 35, 45
    Plus Problems A,B,C,D,E on the handout.
  6. Due Wednesday, Oct. 7
    (PDF version)
    Ch 4 # 58, 64, 69, 89
    Plus Problems A,B on the handout.
  7. Due Wednesday, Oct. 14
    (PDF version)
    Ch 6 # 1, 3, 5, 7, 9, 13, 17
    Ch 5 # 7, 16, 25, 27
    Ch 6 # 24, 27, 30, 33, 37
    Plus Problems A-E on the handout.
  8. Due Friday, Oct. 23
    (PDF version - Uncorrected! See changes below.)
    Ch 5 # 53, 59, 70, 71, 73, 77
    Plus Problems A and B on the handout.
  9. Due Monday, Nov. 2
    (PDF version)
    Ch 8 # 1, 21*, 23*, 25*, 26*, 27*, 35*, 46, 47, 49
    * For these problems, also sketch the sampling distribution and shade or mark the relevant areas or points.
    Ch 9 # 1, 7, 9, 11, 13, 15
    Plus Problems A,B,C,D on the handout.
  10. Due Wednesday, Nov. 11
    (PDF version)
    Ch 9 # 53, 55, 57, 60, 62, 63
    Plus Problems A,B,C on the handout.
  11. Due Wednesday, Nov. 18
    (PDF version)
    Ch 10 # 1, 3, 19, 21, 25*, 29, 55*, 57*, 59*
    * Clearly state your hypothesis test for these
    Plus Problems A,B,C on the handout.
  12. Due Monday, Nov. 23
    (PDF version - Note Ch 16 material cancelled)
    Ch 10 # 35*, 40*, 41*, 43*, 45*, 53*
    * Clearly state your hypothesis test for these
  13. Due Friday, Dec. 4
    (PDF version)
    Ch 11 # 3, 7, 13, 31, 49, 63a, 68
    Plus Problems A-D on the handout.

Data