G163 STA1625_MODULE03_PROBABILITY OF EVENTS_01

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Rasmussen College, Florida *

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May 29, 2024

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docx

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Module 03: Probability of Events Rasmussen University G163/STA1625 Essential Statistics and Analytics
PART 01- DATA TABLE AVERAGE NUMBER OF HOURS SLEEP PER NIGHT 6 HOURS 6 HOURS TOTAL STUDENT 1 5 6 NOT A STUDENT 3 1 4 TOTAL 4 6 10 PART 02- PROBABILITY QUESTIONS 1. What is the probability that a randomly selected person slept less than an average of 6 hours per night? The probability would be 0.4 – Given that 4 out of the 10 individuals slept less than 6 hours. The equation would be P(<6)= 4 10 = 0.4 2. What is the probability that a randomly selected person is a student? The probability would be 0.6 – Given that out of the 10 individuals 6 of them were students. The equation would be P(S)= 6 10 = 0.6 3. What is the probability that a randomly selected student slept greater than an average of 6 hours a night? The probability would be 0.83 – Given that 5 out of the 6 individuals that slept greater than 6 hours were students. The equation would be P(>6)= 5 6 = 0.83 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? The probability would be 0.17- Given than out of the 6 individuals who slept more than 6 hours only 1 was not a student. The equation would be P(NS | >6)= 1 6 = 0.17 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? The probability would be 0.75- Given that there were a total of 4 individuals who slept less than 6 hours and 3 of them were not students. The equation would be P(NS |<6)= 3 4 = 0.75
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