In the next set of questions (9 to 20), you will consider a situation and a variable Xand determine whether each of the four requirements of the binomial setting are met. If the binomial setting is not technically met, but is very nearly met (see the discussion on pages 65-66 of the Unit 6 notes), then you should still select True for the binomial setting requirement.
For questions 9 to 12:
There are 10 people waiting in line at a bank.
X = number of people who are served in the next 15
minutes.
Question 9 (0.25 points)
There are a fixed number of observations, n.
Question 9 options:
True | |
False |
Question 10 (0.25 points)
Each observation can be categorized as being either a success or a failure (two outcomes), and X counts the number of successes.
Question 10 options:
True | |
False |
Question 11 (0.25 points)
The probability of success p is the same for each observation.
Question 11 options:
True | |
False |
Question 12 (0.25 points)
Observations are independent. That is, success or failure on one observation doesn't affect the probability of success or failure for any other observation.
Question 12 options:
True | |
False |
Question 9. True.
In binomial setting, the number of observation is fixed.
Question 10. True.
Each observation under binomial is either a success (1) or failure (0) and X is a random variable that follows binomial distribution and denotes the no. of successes
Question 11. True.
The probability of success for each trial of binomial is a constant.
Question 12. True.
All trials of binomial are independent. Probability of success of one does not affect the other trial.
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