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Less than or equal to 6 hours Greater than 6 hours Total Student 2 2 4 Not A student 4 2 6 Total 6 4

Less than or equal to 6 hours Greater than 6 hours Total
Student 2 2 4
Not A student 4 2 6
Total 6 4

Part Two - Probability Questions

From the completed table, address the following questions by providing the correct answer, and show all the steps with an explanation of steps using proper terminology:

  1. What is the probability that a randomly selected person slept less than an average of 6 hours per night?
  2. What is the probability that a randomly selected person is a student?
  3. What is the probability that a randomly selected student slept greater than an average of 6 hours a night?
  4. What is the probability that a randomly selected person who sleeps greater than an average of 6 hours a night is not a student?
  5. What is the probability that a randomly selected person is not a student or slept less than an average of 6 hours a night?

Part Three - Counting Questions

Address the following questions by providing the correct answer, explain why you selected the counting method, and show all the steps with an explanation of steps using proper terminology:

  1. You'd like to gain more information from a subset of people you know. You want to choose 5 people from your group of 10 that you surveyed to ask additional questions. How many ways can you pick this subset of 5 people?
  2. You are thanking the people for participating in your survey. You have three gift cards: $50 Target gift card, $25 Amazon gift card, and $10 Starbucks gift card. You place all 10 names in a hat and randomly select who will get each gift card. Note: only one person can get a gift card, and no one can get more than one gift card. In how many ways can you give out the gift cards?

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