RMcCormick_Module 03 Assignment_012123

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St. Petersburg College *

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1625

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Statistics

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Feb 20, 2024

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Module 03 Assignment Probability of Events Rhonda McCormick Rasmussen University G163/STA1625 Section 03 Essential Statistics and Analytics Instructor: Nigel Basta 01/21/24

Probability of Events Part One: Average Number of Hours Sleep per Night Less than or equal to 6 hours Greater than 6 hours Total Student 2 3 5 Not a Student 0 5 5 Total 2 8 10 Part Two: What is the probability that a randomly selected person slept less than an average of 6 hours per night? There is a 4/10 or 40% chance. What is the probability that a randomly selected person is a student? There is a 5/10 or 50% chance. What is the probability that a randomly selected student slept greater than an average of 6 hours a night? There is a 8/10 or 80% chance. What is the probability that a randomly selected person who sleeps greater than an average of 6 hours a night is not a student? There is a 5/10 or 50% chance. What is the probability that a randomly selected person is not a student or slept less than an average of 6 hours a night? There is a 0/10 or 0% chance. Part Three: 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:

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? 10! / (5!(10-5)!) = 10!/5! * 5! = 252 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? 10!/ (3!(10-3)!) = 10!/3! * 7! = 120

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