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EDRM611: Applied Statistics

Homework for Statistics Lesson 7B

Answer Completely.
 
Some calculations are required.
Due Fri., July 22, 2005, 11:30:00.000, EDT.
 
Due on the teacher's desk in BH114.
  1. Fix Or Repair Daily manufactures light trucks with three different body styles, five different colors of paint, and six different interior colors. Compare the number of trucks necessary to exhibit an example of each with the number of possible varieties.

     

     

  2. (2 points) Calculate by hand, showing your work, the following combinations:
    1. 5C3.
    2. 6C4.
    3. 9C3.
    4. 9C9.

     

     

  3. (2 points) Calculate by hand, showing your work, the following arrangements:
    1. 5P3.
    2. 6P4.
    3. 9P3.
    4. 9P9.

     

     

  4. (2 points) Lois Pass has the following probability of passing various courses: Chemistry, 80%; Algebra II, 75%; Computer Programming, 90%. What is the probability of (assume independent)
    1. passing all 3?
    2. failing all 3?
    3. (bonus) passing at least 1?
    4. (bonus) passing exactly 1?

     

     

  5. Three programmers are given a program which they work on independently (while occasionally playing interactive games). The probability of each programmer completing a working program by the end of the day are 1/4, 2/5, and 1/5, respectively. Find the probability that at least one working program will be available by the end of the day. (Bonus: Find the probability that only one working program will be available by the end of the day.)

     

     

     

  6. Separately calculate using the binomial formula the probabilities of getting 0, 1, 2, 3, or 4 left-handed students in a class of 25, given a probability of 0.1. Compare your results with those obtained by doing binompdf(25,.1) (DISTR 0) or running BINOMIAL on your TI-83+ graphing calculator.

     

     

     

  7. A common rule is that you can approximate the binomial with the normal when both ?.....? and ?.....? exceed the magic number of ?.....?.

     

     

     

     

     

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