Practice Ib‐style Problem (10) - Binomial Distribution - IB 10 Mathematics – Group 5, Statistics & Probability

Practice: IB‐Style Problem

Lesson 10Binomial Distribution

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11 questions

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4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
5 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the probability of getting exactly 6 answers correct in the same quiz?
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Identify n, k, and p before applying the formula.
Question 2.
How many trials (n) are in the quiz?
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This is the total number of questions in the quiz.
3Question 3.
What is the binomial distribution formula for calculating the probability?
- P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
- P(X=k) = n * p * (1-p)^(k-1)
- P(X=k) = n^k * p^k
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Remember the structure of the binomial probability expression.
4Question 4.
True or False: The expected value in a binomial distribution is calculated as n * p.
- True
- False
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Recall the definition of expected value for binomial scenarios.
Question 5.
A student takes a 30-question quiz where he has a 0.4 probability of answering a question correctly. What is the probability he gets at least 12 correct?
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Use binomial calculator for cumulative sums.
Question 6.
In a manufacturing process, the probability of producing a defective item is 0.1. If 50 items are produced, what is the expected number of non-defective items?
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Adjust the probability to reflect successes.

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