Binomial Distribution Problems in Context (Grade 11)
Free printable Grade 11 Mathematical Methods worksheet applying the binomial distribution to practical problems, with every probability computed from the binomial formula.
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Grade 11 · Math worksheet
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Math
Probability Distributions: Binomial Problems in Context
Model each situation with a binomial random variable and find the probability, rounded to 4 decimal places.
- 1.On any day a bus is late independently with probability 0.4. Consider 6 days. Find the probability that at least one is late, rounded to 4 decimal places.
- 2.A multiple-choice quiz has 6 questions; a student guesses each with probability 0.3 of being correct. Find the probability that at least one is correct, rounded to 4 decimal places.
- 3.A multiple-choice quiz has 10 questions; a student guesses each with probability 0.1 of being correct. Find the probability that at most 3 are correct, rounded to 4 decimal places.
- 4.A basketball player takes 7 independent free throws and makes each with probability 0.1. Find the probability that all 7 are made, rounded to 4 decimal places.
- 5.A factory makes light globes; each is faulty independently with probability 0.8. A box holds 10 globes. Find the probability that exactly 1 are faulty, rounded to 4 decimal places.
- 6.On any day a bus is late independently with probability 0.3. Consider 10 days. Find the probability that exactly 1 are late, rounded to 4 decimal places.
- 7.On any day a bus is late independently with probability 0.3. Consider 5 days. Find the probability that at least one is late, rounded to 4 decimal places.
- 8.A basketball player takes 7 independent free throws and makes each with probability 0.7. Find the probability that all 7 are made, rounded to 4 decimal places.
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