Respuesta :
Answer:
No, the given procedure doesn't result in a binomial distribution.
Step-by-step explanation:
We can identify if a given procedure results in binomial distribution by observing whether these four conditions are met or not.
Condition 1: Each observation should be independent, it must not depend on the result of previous observation.
Condition 2: The probability of success should stay same from trial to trial.
Condition 3: n is fixed (the number of observations)
Condition 4: There are only two outcomes success or failure.
Surveying 2828 people to determine which statistics courses they have taken.
Condition 3 is satisfied since n is fixed
Condition 1 is satisfied since each observation is independent
Condition 4 is not satisfied since there can be more than 2 answers from the people (statistics courses can be many).
Answer:
No, the given procedure doesn't result in binomial distribution.
Step-by-step explanation:
For any procedure to be a binomial distribution, these below four conditions should be met;
Condition 1: Each and every observation should be independent from the other observations.
Condition 2: The probability of success(p) should always be same for each trial.
Condition 3: Number of trials(n) must be fixed.
Condition 4: There must be only two outcomes success or failure.
Now, the procedure given to us is : Surveying 2828 people to determine which statistics courses they have taken.
In this procedure;
- Condition 1 is satisfied since each observation is independent from other.
- Condition 3 is satisfied as n is fixed for surveying 2828 people.
- Condition 4 is not satisfied because there can be more than 2 answers from the people regarding which statistics courses they have taken as there as many statistics courses.
