A large bag of m&m candies contains: 80 blue 70 orange 35 red 30 green 20 yellow 15 brown We will randomly select 50 pieces. Let the random variable X be the number of oranges selected. Then X has a hypergeometric distribution. Match the following. Group of answer choices n N M success

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A large bag of m&m candies contains:

  • 80 blue
  • 70 orange
  • 35 red
  • 30 green
  • 20 yellow
  • 15 brown

We will randomly select 50 pieces.  Let the random variable X be the number of oranges selected.  Then X has a hypergeometric distribution.  Match the following.

 

Group of answer choices
n
 
                                                                                                                                                                                                          
 
N
 
                                                                                                                                                                                                          
 
M
 
                                                                                                                                                                                                          
 
success
### Problem Description

A large bag of M&M candies contains:

- 80 blue
- 70 orange
- 35 red
- 30 green
- 20 yellow
- 15 brown

We will randomly select 50 pieces. Let the random variable X be the number of oranges selected. Then X has a hypergeometric distribution. Match the following parameters:

- **n**: 50
- **N**: \[Choose\]
- **M**: \[Choose\]
- **success**: \[Choose\]

### Explanation

This exercise involves understanding the hypergeometric distribution, which describes the probability of a certain number of successes in draws (without replacement) from a finite population.

1. **n (sample size)**: The number of draws, which is 50 in this case.
2. **N (population size)**: The total number of M&M candies. To calculate this, add all the candies together.
3. **M (number of success states in the population)**: The number of orange candies, which is 70.
4. **success (number of successes in the sample)**: Variable to define, based on the context of the problem.

Adjust the selections according to the definitions provided in the principles of hypergeometric distribution.
Transcribed Image Text:### Problem Description A large bag of M&M candies contains: - 80 blue - 70 orange - 35 red - 30 green - 20 yellow - 15 brown We will randomly select 50 pieces. Let the random variable X be the number of oranges selected. Then X has a hypergeometric distribution. Match the following parameters: - **n**: 50 - **N**: \[Choose\] - **M**: \[Choose\] - **success**: \[Choose\] ### Explanation This exercise involves understanding the hypergeometric distribution, which describes the probability of a certain number of successes in draws (without replacement) from a finite population. 1. **n (sample size)**: The number of draws, which is 50 in this case. 2. **N (population size)**: The total number of M&M candies. To calculate this, add all the candies together. 3. **M (number of success states in the population)**: The number of orange candies, which is 70. 4. **success (number of successes in the sample)**: Variable to define, based on the context of the problem. Adjust the selections according to the definitions provided in the principles of hypergeometric distribution.
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