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Zina [86]
3 years ago
5

Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Su

rveying 2828 people to determine which statistics courses they have taken.
Mathematics
2 answers:
dlinn [17]3 years ago
7 0

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).

IRINA_888 [86]3 years ago
3 0

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;

<u>Condition 1</u>: Each and every observation should be independent from the other observations.

<u>Condition 2</u>: The probability of success(p) should always be same for each trial.

<u>Condition 3</u>: Number of trials(n) must be fixed.

<u>Condition 4</u>: 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.

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