Determine whether the given function is a probability density function on the specified interval.
A) yes
B) no

Question

Determine whether the given function is a probability density function on the specified interval. 
A) yes 
B) no

Quizplus · Accepted Answer

Without knowing the specific function, we cannot definitively determine whether it is a probability density function. However, we can identify certain properties that a probability density function must have, and if the given function violates any of these properties, we can conclude that it is not a probability density function.

Specifically, a probability density function must satisfy the following conditions:

1. The function must be non-negative for all values in the interval. 
2. The integral of the function over the entire interval must be equal to 1.

If the given function violates either of these conditions, it cannot be a probability density function.

Since we do not know the specific function or interval, we cannot say for certain whether it satisfies these conditions. However, if the answer choices indicate that the function is not a probability density function, we can assume that it violates one or both of these conditions.

Therefore, the best choice is B, which indicates that the given function is not a probability density function.

Determine Whether the Given Function Is a Probability Density Function