The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr
2 answers:
Answer:
The appropriate probability model for X is a Binomial distribution,
X Bin (<em>n</em> = 5, <em>p</em> = 1/33).
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of American births resulting in a defect.
The proportion of American births that result in a birth defect is approximately <em>p</em> = 1/33.
A random sample of <em>n</em> = 5 American births are selected.
It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.
In this experiment the success is defined as a defective birth.
The random variable <em>X</em> satisfies all criteria of a Binomial distribution.
The criteria are:
- Number of observations is constant
- Independent trials
- Each trial has only two outcomes: Success and Failure
- Same probability of success for each trial
Thus, the appropriate probability model for X is a Binomial distribution, Bin (<em>n</em> = 5, <em>p</em> = 1/33).
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Answer:
Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.
Step-by-step explanation:
1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.
2) Here are the most common outcomes, as long as we continue on flipping coins.
If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5
This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails