Eastwood's BA201 Assignments

STUDY GUIDE FOR EXAM 2, BA201

What to bring: Bring your calculator (and a spare if possible). Bring clean copies of your preferred version of the Z table, the blue tables, the green flowchart,  and your formula card (without notes). I will provide copies of any of the tables from the text that might prove useful. You may also use your reading summaries (but only those submitted previously, not new ones).

The test focuses on chapters 5 and 6 only. Of course, these chapters rely on concepts developed in chapters 1-4. I have prepared a list of suggested practice exercises from the text. A student who thoroughly  understands these exercises, together with those exercises in the assigned homework, should be well prepared for the exam. As a part of this understanding, the student should be able to explain (with graphs where appropriate) the underlying concepts. Examples of the concepts include:  probability distributions, cumulative probability, percentiles, mean, standard deviation, proportion of successes in the population, etc.

Chapter 5

  1. All of the odd-numbered exercises not previously assigned
  2. Exercise 22, page 182 (answer: 0.4396)
  3. Exercise 28, page 186 (answers: a= 0.1465, b=0.2381, c=0.7619)
  4. Exercise 44, page 189 (answer: 0.881)

Chapter 6

  1. Consider the hardness of steel as a random variable, X, with values between 50 and 70 on the  Rockwell B scale. Assume that X is uniformly distributed. 
    a) Compute the probability that the hardness of a randomly selected steel specimen is less than 65. {Answer: 0.75, found as (65-50)(1/20)}
    b) Find the ninetieth percentile (P90) of X. {68, found by solving (x-60) (1/20) = .90}
    c) Sketch the ogive (cumulative less-than probability) for X.
  2. All of the odd-numbered exercises not previously assigned
  3. Exercise 6, page 202 (a=.84; b=.2995; c=.1894)
  4. Exercise 8, page 202 (a=.4332; b=.1915; c=.3085)
  5. Exercise 12, page 208 (a=.3085; b=.2902; c=.5987; d=$86,800
  6. Exercise 16, page 212 (a: mean = 22, sigma = 3.15; b=.2148; c=.0197; d=.8578
  7. Exercise 18, page 212 (a=10; b=.1894; c=.2981; d=.1087
  8. Exercise 20, page 213 (a= .9599; b=.6985; c=.6584
  9. Exercise 42, page 216 (Karrie, 88.0; George, 47.89; Normal distribution)
  10. Exercise 46, page 216 (a= 9.18%, 22 days; b=14.92%; c=$45.465)
  11. Exercise 48, page 217 (32.56 months)
  12. Repeat some of the homework problems where you find percentiles.
  13. Repeat some of the homework problems where you approximated the Binomial distribution with the Normal.

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