Practice Binomial Probability Formula (4) - Binomial Distribution - IB 10 Mathematics – Group 5, Statistics & Probability

Practice: Binomial Probability Formula

Lesson 4Binomial Distribution

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8 questions

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6 sample questions

Question 1.
Calculate the probability of getting exactly 2 heads when flipping a fair coin 3 times.
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Use the binomial probability formula.
Question 2.
In 5 trials with a success probability of 0.6, find the probability of 1 success.
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Identify n, k, and substitute in the formula.
3Question 3.
What is the binomial probability formula used to calculate?
- The probability of getting at least k successes
- The probability of getting exactly k successes
- The mean of successes
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Remember, it specifies 'exactly'.
4Question 4.
True or False: The parameters n and p in a binomial distribution must remain constant.
- True
- False
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Consider the definitions of a binomial setup.
Question 5.
A basketball player has an 80% free-throw success rate. If they take 12 shots, what is the probability that they score at least 10 successful shots?
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Use the cumulative formula: 1 - P(X ≤ 9).
Question 6.
In a manufacturing process, 95% of products pass quality control. If 200 products are tested, what is the mean and standard deviation of products that pass?
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Use the mean and standard deviation formulas for binomial distributions.

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