For a continuous random variable x, the probability density function f (x) represents

a. the probability at a given value of x

b. the area under the curve at x

c. Both the probability at a given value of x and the area under the curve at x are correct answers.

d. the height of the function at x

Question

Mathematics

Scoobie

25 November, 21:39

For a continuous random variable x, the probability density function f (x) represents

a. the probability at a given value of x

b. the area under the curve at x

c. Both the probability at a given value of x and the area under the curve at x are correct answers.

d. the height of the function at x

+4

Answers (1)

Know the Answer?

Enrique · Answer 1

Option d.

Step-by-step explanation:

we know that

The graph of a continuous probability distribution is a curve. Probability is represented by area under the curve.

The curve is called the probability density function (abbreviated as pdf).

We use the symbol f (x) to represent the curve

therefore

The probability density function f (x) represents. the height of the function at x.

For a continuous random variable x, the probability density function f (x) representsa. the probability at a given value of xb. the area under the curve at xc. Both the probability at a given value of x and the area under the curve at x are correct answers.d. the height of the function at x

For a continuous random variable x, the probability density function f (x) represents

a. the probability at a given value of x

b. the area under the curve at x

c. Both the probability at a given value of x and the area under the curve at x are correct answers.

d. the height of the function at x