Practice - Example 3 β At least π
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Practice Questions
Test your understanding with targeted questions
What does it mean to calculate P(X β₯ k)?
π‘ Hint: Think about how the complement rule works.
If you roll a die 6 times, what is the probability of rolling a 4 at least once?
π‘ Hint: First find the P(rolling 4 once, twice, etc.) then sum these probabilities.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does P(X β₯ k) indicate?
π‘ Hint: Think of what it means to take into account more than just k.
True or False: To find P(X β₯ k), you calculate P(X β€ k) first.
π‘ Hint: What does the complement rule tell you?
1 more question available
Challenge Problems
Push your limits with advanced challenges
You are conducting a study where success is defined as a participant answering correctly. If there are 100 questions and each participant is expected to answer 70% correctly, what is the probability that a randomly selected participant can answer at least 80 questions correctly?
π‘ Hint: Use the complement for those answering fewer than 80.
In an experiment with 50 trials where success is defined as flipping heads, find the probability of obtaining at least 20 heads if the coin is fair.
π‘ Hint: Calculate the cumulative probability for heads less than 20.
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