Question

For the distribution function F(x) of a discrete random variable which of the following is not true?
O
A
F(x) is non-decreasing function of X
B
F(x) is non-negative function of X
O
с C
F(x) is step function of X
O
The graph of F(x) is smooth unbroken curve​

Answer 1

Answer:

I have a very basic question in probability. It pertains to the difference between a continuous random variable distribution function and a discrete one. This question has confused me many times.

Answer 2

The correct answer is option (A) F(x) is non-decreasing function of X

Explanation:

• For the distribution function F(x) of a discrete random variable F(x) is non-decreasing function of X is not true.
• A discrete variable refers to a variable whose value is obtained by counting.
• A discrete random variable X has a countable different number of possible values.
• For Example: Let X shows the sum of two dice.