Practice - Cumulative Probabilities
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Practice Questions
Test your understanding with targeted questions
What does cumulative probability represent?
💡 Hint: Think about how many successes you'd consider in trials.
If n=5 and k=3, how would you write the formula for P(X ≤ 3)?
💡 Hint: It's a summation of probabilities from 0 to 3.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What cumulative probability calculates the likelihood of receiving less than or equal to k successes?
💡 Hint: Look for the option indicating a limit on successes.
True or False: The formula P(X ≥ k) is calculated as 1 − P(X ≤ k).
💡 Hint: Think about how 'at least' contrasts with 'at most'.
1 more question available
Challenge Problems
Push your limits with advanced challenges
In a scenario of flipping a fair coin 12 times, calculate the cumulative probability of getting at least 8 heads.
💡 Hint: Use the binomial formula for each P(X=k) up to 7.
You roll a die 15 times. Calculate the cumulative probability of achieving between 5 and 10 rolls of a number greater than 3.
💡 Hint: Break down the calculations for each successive roll.
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