Practice Cumulative Probabilities (7) - Binomial Distribution - IB 10 Mathematics

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9 questions

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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does cumulative probability represent?
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Think about how many successes you'd consider in trials.
Question 2.
If n=5 and k=3, how would you write the formula for P(X ≤ 3)?
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It's a summation of probabilities from 0 to 3.
3Question 3.
What cumulative probability calculates the likelihood of receiving less than or equal to k successes?
- P(X ≤ k)
- P(X ≥ k)
- P(X = k)
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Look for the option indicating a limit on successes.
4Question 4.
True or False: The formula P(X ≥ k) is calculated as 1 − P(X ≤ k).
- True
- False
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Think about how 'at least' contrasts with 'at most'.
Question 5.
In a scenario of flipping a fair coin 12 times, calculate the cumulative probability of getting at least 8 heads.
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Use the binomial formula for each P(X=k) up to 7.
Question 6.
You roll a die 15 times. Calculate the cumulative probability of achieving between 5 and 10 rolls of a number greater than 3.
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Break down the calculations for each successive roll.

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