Binomial Distribution Problems in Context (Grade 12)
Free printable Grade 12 Mathematical Methods worksheet applying the binomial distribution to practical problems, with every probability computed from the binomial formula.
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Grade 12 · 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 0.3. Consider 7 days. Find the probability that at most 2 are late, rounded to 4 decimal places.
- 2.On any day a bus is late independently with probability 0.9. Consider 9 days. Find the probability that exactly 8 are late, rounded to 4 decimal places.
- 3.A factory makes light globes; each is faulty independently with probability 0.7. A box holds 5 globes. Find the probability that all 5 are faulty, rounded to 4 decimal places.
- 4.A multiple-choice quiz has 6 questions; a student guesses each with probability 0.4 of being correct. Find the probability that at least one is correct, rounded to 4 decimal places.
- 5.A basketball player takes 4 independent free throws and makes each with probability 0.5. Find the probability that all 4 are made, rounded to 4 decimal places.
- 6.A factory makes light globes; each is faulty independently with probability 0.3. A box holds 8 globes. Find the probability that at least one is faulty, rounded to 4 decimal places.
- 7.A factory makes light globes; each is faulty independently with probability 0.4. A box holds 5 globes. Find the probability that all 5 are faulty, rounded to 4 decimal places.
- 8.A basketball player takes 8 independent free throws and makes each with probability 0.8. Find the probability that all 8 are made, rounded to 4 decimal places.
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