Stat 20 – Probability Distributions

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Does the quantity described below have a probability distribution that is binomial (if so, what are $n$ and $p$ ?), hypergeometric (if so , what are $N$ , $G$ , and $n$ ?), or neither (why)?

Roll a fair ten-sided die 20 times. We count the number of times we roll a multiple of 3.

Binomial, hypergeometric, or neither?

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Does the quantity described below have a probability distribution that is binomial (if so, what are $n$ and $p$ ?), hypergeometric (if so , what are $N$ , $G$ , and $n$ ?), or neither (why)?

YouGov surveyed 1,500 adult US citizens last December and counted the number of respondents who had read at least one book in 2023. The population of the US is about 335 million.

Binomial, hypergeometric, or neither?

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Are we describing a probability distribution below that is binomial? Or is it hypergeometric? Or do neither apply?

A six-sided die is tossed twice, and we check if the sum of the spots is 8 or not.

Binomial, hypergeometric, or neither?

01:00

Are we describing a probability distribution below that is binomial? Or is it hypergeometric? Or do neither apply?

A bag that has 6 pieces of fruit: 2 mangoes, 3 apples, and 1 orange. I reach into the bag and draw out one fruit at a time, selecting each fruit at random (so they are equally likely on each draw). I count the number of draws until and including the first time I draw a apple.

Binomial, hypergeometric, or neither?

Probability Distributions

Probability Refresher

Concept Questions

Binomial, hypergeometric, or neither?