Practice Approximations For Large 𝑛 (9) - Binomial Distribution - IB 10 Mathematics

Practise this section

9 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

5 sample questions

Question 1.
What is the normal approximation for a binomial distribution with n = 40 and p = 0.5?
Show hintHide hint
Calculate np for the mean and np(1-p) for the variance.
Question 2.
In a binomial distribution with n = 50 and p = 0.4, how would you express P(X ≤ 10)?
Show hintHide hint
Adjust by -0.5 and +0.5.
3Question 3.
What is the approximation for X in a binomial distribution with n = 50 and p = 0.4?
- N(20, 12)
- N(20, 15)
- N(10, 10)
Show hintHide hint
Calculate np and np(1-p) first.
4Question 4.
Using continuity correction, how would P(10 ≤ X ≤ 20) be expressed?
- True
- False
Show hintHide hint
Remember the adjustments made for P(X).
Question 5.
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.
Show hintHide hint
Use z-score formula to find the probability.

5 more questions in this section. Enroll free to practise them all.