06-09-2018

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Problem 1. Consider the following data. It represents the year of birth of 25 professors at a college.

• 1. Summarize the data with a frequency distribution table with 5 classes

  2. Find the relative and percentage frequencies.

  3. Draw a histogram

Chapter 4 Preliminaries

Problem 1. Which of the following is not equal to the rest?

• 1. 5!

  2. 3!.20

  3. 7!/42

  4. 6!/3!

  5. 2!.3.4.5

  6. 10!/(7!.6)

  7. 16!/(13!.7.4)

Problem 2. (Multiple step) How many outcomes are possible for the following experiments

• 1. Roll one dice

  2. Roll two dice

  3. Form a three digit number with the digits (3,4,5,6)

  4. Form a three digit number with the digits (0,1,2,3)

  5. Draw a card from a standard deck of cards

  6. Draw a card from a deck of cards, replace it, then draw another card.

  7. Toss a coin three times

Problem 3. (Ordering) Count the number of outcomes of the following experiments.

• 1. Order the letters ABC in different ways.

  2. How many ways can 4 students sit on 4 chairs

Problem 4. (Permutations) Count the outcomes.

• 1. Number of ways of picking the first three students in a class of 10.

  2. Number of permutations of picking 4 items from a group of 7.

  3. Form a three digit number with the digits (3,4,5,6) so that no digit repeats.

  4. Form a three digit number so that no digit repeats.