Question

How many of your 20 samples had at least two people with the same birthday (i.e., how many matches)? What is the relative frequency of samples that had at least two people with the same birthday? (This is your estimated probability of at least one birthday match in a group of 30 people.) If you have a room with 100 people, how unusual would it be to have no matches? Feel free to run another simulation to help you to answer this question.

          How many of your 20 samples had at least two people with the same birthday (i.e., how many matches)?
What is the relative frequency of samples that had at least two people with the same birthday? (This is your estimated probability of at least one birthday match in a group of 30 people.)
If you have a room with 100 people, how unusual would it be to have no matches?
Feel free to run another simulation to help you to answer this question.

How many of your 20 samples had at least two people with the same birthday (i.e., how many matches)?
What is the relative frequency of samples that had at least two people with the same birthday? (This is your estimated probability of at least one birthday match in a group of 30 people.)
If you have a room with 100 people, how unusual would it be to have no matches?
Feel free to run another simulation to help you to answer this question.

Added by Stacey P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Jacob Fry

12/15/2022

Step 1

- Calculate \( p = \frac{365!}{265! \times 100!} \times \left(\frac{100!}{365^{100}}\right) \) - Simplify to get \( p = \binom{365}{100} \times \frac{100!}{365^{100}} \) - Calculate \( p \approx 3.07 \times 10^{-7} \) ** Show more…

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How many of your 20 samples had at least two people with the same birthday (i.e., how many matches)? What is the relative frequency of samples that had at least two people with the same birthday? (This is your estimated probability of at least one birthday match in a group of 30 people.) If you have a room with 100 people, how unusual would it be to have no matches? Feel free to run another simulation to help you to answer this question.