Class Examples for Chapter 4

Class Examples for Chapter 4 - Class Examples for Chapter 4...

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Class Examples for Chapter 4 Probability Theory Example 1. For each of the following experiments, determine the sample space and list some typical events. Experiment Sample Space Some Typical Events 1. Roll one typical six-sided die and record the number of the face on which it comes to rest. 2. Roll 2 typical six-sided dice and record the two faces that appear when they come to rest. 3. Roll 2 typical six-sided dice and record the sum of the two faces that appear when they come to rest. 4. Take a sample of families that have 3 children. For each family, write a list of the genders of the children. 5. Take a sample of families that have 4 children. For each family, write a list of the genders of the children. 6. Take a sample of people at an amusement park and record the number of tries it takes them to correctly guess the weight of Bozo the Clown. 7. Measure the times it takes the students in this class to complete their midterm exam if no time-restriction were imposed. 8. Measure the times it takes the students in this class to complete their midterm exam if 2-hour time- restriction were imposed.
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Example 2. Hospital records indicated that 127 maternity parents stayed in the hospital for the number of days shown in the following distribution: Number of days stayed Frequency 3 15 4 32 5 56 6 19 7 5 Compute the following probabilities: i) A patient stayed exactly 5 days. ii) A patient stayed less than 6 days. iii) A patient stayed at most 4 days. iv) A patient stayed at least 5 days. Example 3. A box contains 5 red, 2 white, and 3 green marbles. If a marble is selected at random, find these probabilities. i) That it is red. ii) That it is green. iii) That it is red or green. iv) That it is not green. v) That it is not red. Example 4. Determine which events are mutually exclusive and which are not when a single card is drawn from a typical 52-card deck. i) Getting a 7 and getting a jack. ii)
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This note was uploaded on 12/16/2011 for the course CS cs102 taught by Professor Rsharma during the Spring '11 term at IIT Kanpur.

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Class Examples for Chapter 4 - Class Examples for Chapter 4...

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