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Grade 12

The Hypergeometric Distribution

Interactive practice questions

Find $P\left(x\right)$P(x) using the probability density function for the hypergeometric distribution if $N=10$N=10, $k=6$k=6, $n=3$n=3 and $x=0$x=0.

Easy
4min

A jury of $4$4 people is formed by randomly selecting from a group of $6$6 women and $3$3 men.

Find the probability that $2$2 women are selected.

Easy
3min

In a group of $11$11 people, $5$5 have blue eyes. If $4$4 people are randomly selected from the group, what is the probability that all of them have blue eyes?

Easy
2min

A hoverboard manufacturer produced $140$140 hoverboards, $10%$10% of which contained faulty batteries. If a sample of $15$15 hoverboards was taken without replacement, what is the probability that less than $3$3 hoverboards contained faulty batteries?

Give your answer to four decimal places.

Easy
7min
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Outcomes

12D.B.1.5

Recognize conditions (e.g., dependent trials) that give rise to a random variable that follows a hypergeometric probability distribution, calculate the probability associated with each value of the random variable, and represent the distribution numerically using a table and graphically using a probability histogram

12D.B.1.7

Solve problems involving probability distributions (e.g., uniform, binomial, hypergeometric), including problems arising from real-world applications

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