SOLUTION: Once each school week there is a late-start day for students. After studying your attendance records your math teacher says: “On late-start days, you are tardy to first hour abou
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Question 1186529: Once each school week there is a late-start day for students. After studying your attendance records your math teacher says: “On late-start days, you are tardy to first hour about 20% of the time. I’ve also noticed the events ‘It is a late-start day’ and ‘You are tardy to first hour’ are independent.”
A. Explain what it means to be independent events.
B. Then, explain what your teacher meant in terms of relationship between ‘It is a late-start school day’ and the probability of you being tardy to first hour. Answer by CPhill(1959) (Show Source):
You can put this solution on YOUR website! **A. Independent Events:**
Two events are considered independent if the occurrence of one event does *not* affect the probability of the other event occurring. In simpler terms, knowing that one event has happened gives you no information about whether the other event will happen.
**B. Teacher's Meaning:**
Your teacher's statement means that whether or not it's a late-start day has *no impact* on the probability of you being tardy to first hour. Even though late-start days exist, they don't make you any more or less likely to be tardy. You're tardy about 20% of the time *regardless* of whether it's a late-start day or a regular start day. The fact that it's a late-start day is irrelevant to your tardiness.
