Question

For which type of distributions are the statements true:

1. for only continuous distributions.
2. for only discrete distributions.
3. for all distributions.
4. for some discrete distributions but not all?
1) Only continuous distributions
2) Only discrete distributions
3) All distributions
4) Some discrete distributions but not all

Answer 1

The statements 1 and 3 are true for only continuous distributions, while statement 2 is true for only discrete distributions. Statement 4 is true for some discrete distributions but not all.

Step-by-step explanation:

The statements 1 and 3 are true for only continuous distributions, while statement 2 is true for only discrete distributions. Statement 4 is true for some discrete distributions but not all.

1. For only continuous distributions: This statement is true because continuous distributions, such as the normal distribution, have a continuous range of possible values.

2. For only discrete distributions: This statement is true because discrete distributions, such as the binomial distribution or the Poisson distribution, have a countable number of possible values.

3. For all distributions: This statement is false because not all distributions, such as the mixed distribution, can be classified as either continuous or discrete.

4. For some discrete distributions but not all: This statement is true because there exist discrete distributions, such as the geometric distribution, that do not satisfy the conditions of statement 2.