Concept explainers
Which of the following is NOT true about the distribution function for a
- a. It ranges from 0 to 1.
- b. It increases as the quantity increases.
- c. It generally has a bell shape when graphed.
- d. It returns the probability that the outcome from the normal distribution is a certain quantity or lower.
To identify: The statement that is not true regarding the distribution function of a normal distribution.
Explanation of Solution
Correct option: (c)
Correct answer:
It generally has a bell shape when graphed.
Justification:
Normal distribution is a common continuous probability distribution. The normal distribution graph depicts a bell shaped graph normally. The meaning of the graph is that data present near the mean occur more frequently than the data that are present far away from the mean. It is also known as the bell-curve. But, the distribution function is always increasing and never has a bell shape, only the density function has the bell shape.
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