Question

If f(x) is a probability density function of a continuous random variable, then f(x)dx=?

Answer 1

Answer:

If f(x) is a probability density function of a continuous random variable, then f(x)dx=?

Answer 2

Answer:

f(x)dx is a cumulative distributive function.

Given:

f(x) is a probability density function of a continuous random variable

To find:

f(x)dx = ?

Solution:

Since f(x) is a probability density function,

f(x) = d/dx F(x)

where F is cumulative distributive function, then by Fundamental theorem of calculus,

f(x)dx = F(x)

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