All of the following are true about a probability density function,f(x),except ________.
A)f(x)≥ 0 for all values of x
B)the total area under the function above the x-axis is 1.0
C)the probability distribution will approach the shape of a smooth curve
D)the probability will assume a value greater than or equal to a specified value,x

Question

Quizplus · Accepted Answer

The statement "the probability will assume a value greater than or equal to a specified value, x" is not true about a probability density function. A probability density function only gives the probability *density* at a specific point x, not the probability itself. The probability of x taking any specific value is actually zero, and we can only calculate the probability of x taking a value within a range of values.

All of the Following Are True About a Probability Density