According to a study by the Bureau of Justice Statistics, approximately 5% of th

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Answered question

2021-09-27

According to a study by the Bureau of Justice Statistics, approximately 5% of the nations

Answer & Explanation

Lacey-May Snyder

Lacey-May Snyder

Skilled2021-09-28Added 88 answers

Step 1
The conditions for binomial probability is as follows:
- Every observation has two outcomes, i.e, success and failure.
- There is a fixed number of trials
- The trials are independent.
- The probability for each trial is the same.
Step 2
- As in this case, we see that there is two outcomes, i.e, the child has a incarcerated parent (success) and not an incarcerated parent (failure).
- As the children were randomly selected, thus the trials are independent.
- The number of trials is fixed, i.e, 140
- The probability for each trial is the same, i.e, 5%.
Hence, all the assumptions for binomial probability is satisfied.
Thus, the correct options are:
1) Each observation falls into a "success" or "failure."
3) The n observations are all independent.

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