Practice - Approximations for Large π
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Practice Questions
Test your understanding with targeted questions
What is the normal approximation for a binomial distribution with n = 40 and p = 0.5?
π‘ Hint: Calculate np for the mean and np(1-p) for the variance.
In a binomial distribution with n = 50 and p = 0.4, how would you express P(X β€ 10)?
π‘ Hint: Adjust by -0.5 and +0.5.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the approximation for X in a binomial distribution with n = 50 and p = 0.4?
π‘ Hint: Calculate np and np(1-p) first.
Using continuity correction, how would P(10 β€ X β€ 20) be expressed?
π‘ Hint: Remember the adjustments made for P(X).
1 more question available
Challenge Problems
Push your limits with advanced challenges
A company makes 1,000 light bulbs, with a 2% defect rate. Approximate the probability of finding at least 21 defective bulbs in a sample using normal approximation and continuity correction.
π‘ Hint: Use z-score formula to find the probability.
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