4) Approximations a) A vending machine contains 1000 marbles - 100 each of 10 different colors. It costs $1 for 3 marbles. If a child's favorite color is green, what is the probability that exactly one of the marbles he gets is green? i) Solve using the hypergeometric distribution. (Note: depending on what calculator you use, you may need to simplify the combinations before plugging them in)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
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4) Approximations
a) A vending machine contains 1000 marbles - 100 each of 10 different colors. It costs $1 for
3 marbles. If a child's favorite color is green, what is the probability that exactly one of the
marbles he gets is green?
i)
Solve using the hypergeometric distribution. (Note: depending on what calculator you
use, you may need to simplify the combinations before plugging them in)
4
Transcribed Image Text:4) Approximations a) A vending machine contains 1000 marbles - 100 each of 10 different colors. It costs $1 for 3 marbles. If a child's favorite color is green, what is the probability that exactly one of the marbles he gets is green? i) Solve using the hypergeometric distribution. (Note: depending on what calculator you use, you may need to simplify the combinations before plugging them in) 4
ii) Solve using the binomial approximation to the hypergeometric distribution.
b) 1 in 800 people carry a gene that leads to a certain disease. In a random sample of 1000
people, what is the probability that fewer than 3 people carry the gene?
i)
Solve using the binomial distribution. (Note: depending on what calculator you use,
you may need to simplify the combinations before plugging them in)
ii)
Solve using the Poisson approximation to the binomial distribution.
5
Transcribed Image Text:ii) Solve using the binomial approximation to the hypergeometric distribution. b) 1 in 800 people carry a gene that leads to a certain disease. In a random sample of 1000 people, what is the probability that fewer than 3 people carry the gene? i) Solve using the binomial distribution. (Note: depending on what calculator you use, you may need to simplify the combinations before plugging them in) ii) Solve using the Poisson approximation to the binomial distribution. 5
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