Bernoulli Trials & the Binomial Distribution (Grade 12)
Free printable Grade 12 Mathematical Methods worksheet on Bernoulli trials, binomial conditions, the binomial probability formula, and the mean np and variance np(1-p).
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Grade 12 · Math worksheet
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Date
Math
Probability Distributions: Bernoulli Trials & the Binomial Distribution
Recognise binomial conditions, compute binomial probabilities with P(X=r)=C(n,r) p^r (1-p)^(n-r), and find the mean np and variance np(1-p).
- 1.In X ~ Binomial(n, p), what do the parameters n and p represent?
- 2.A spinner is spun 12 times and the number of times it lands on red is recorded. Is this a binomial situation? Why?
- 3.A Bernoulli random variable has probability of success p = 0.3. State its mean and its variance.
- 4.A Bernoulli random variable has probability of success p = 0.6. State its mean and its variance.
- 5.X ~ Binomial(n = 5, p = 0.8). Find P(X = 0), rounded to 4 decimal places.
- 6.X ~ Binomial(n = 5, p = 0.3). Find P(X = 1), rounded to 4 decimal places.
- 7.X ~ Binomial(n = 8, p = 0.7). Find P(X = 3), rounded to 4 decimal places.
- 8.X ~ Binomial(n = 19, p = 0.3). Find the mean np and the variance np(1-p).
- 9.X ~ Binomial(n = 10, p = 0.6). Find the mean np and the variance np(1-p).
- 10.X ~ Binomial(n = 20, p = 0.3). Find the mean np and the variance np(1-p).
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