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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does cumulative probability represent?
💡 Hint: Think about how many successes you'd consider in trials.
Question 2
Easy
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.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What cumulative probability calculates the likelihood of receiving less than or equal to k successes?
- P(X ≤ k)
- P(X ≥ k)
- P(X = k)
💡 Hint: Look for the option indicating a limit on successes.
Question 2
True or False: The formula P(X ≥ k) is calculated as 1 − P(X ≤ k).
- True
- False
💡 Hint: Think about how 'at least' contrasts with 'at most'.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation