Practice Example 1 – Cumulative Probability (8.2)

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6 sample questions

Question 1.
Calculate the probability of getting at most 1 head when flipping a coin 3 times.
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Remember to use the formula for the binomial probability.
Question 2.
What does at least 3 successes mean when calculating cumulative probability?
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Think about the complement rule.
3Question 3.
What is the cumulative probability for at most k successes?
- P(X = k)
- Σ P(X = i) for i <= k
- 1 - P(X ≤ k-1)
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Consider what 'cumulative' means.
4Question 4.
True or False: P(X ≥ k) can be calculated as 1 - P(X ≤ k).
- True
- False
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What does 'at least' indicate?
Question 5.
You have a biased coin that lands heads 30% of the time. After 10 flips, calculate the probability of getting at least 2 heads.
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Use the complement to find at least.
Question 6.
In a survey of 100 households, 70 have internet access. If 10 households are randomly sampled, what's the cumulative probability that at least 5 have internet?
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Remember to find the probabilities for the range.

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