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Mathematics Worksheet
🪙 Binomial Distribution
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Compute a binomial probability.Find the mean np.Find the variance np(1 − p).Use combinations C(n,k).📚 Quick Recap
The binomial distribution models the number of successes in a fixed number of independent trials, each with the same probability of success — like counting heads in repeated coin flips.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1A coin is flipped 5 times. P(exactly 3 heads) =:
2For n = 10, p = 0.4, the mean is:
3For n = 10, p = 0.4, the variance is:
4C(6,2) =:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5The mean of a binomial is .
6The variance of a binomial is .
7A coin is flipped 5 times. Find P(exactly 3 heads).
8For n = 10, p = 0.4, find the mean.
9For n = 10, p = 0.4, find the variance.
🚀 Section C · Challenge ● CHALLENGE 5
10Find C(6,2).
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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1-A 2-A 3-A 4-A | 5 np 6 np(1−p) 7 = 0.3125 8 = 4 9 = 2.4 | 10 = 15