# Determine whether each of the following is a probability distribution. Give reasons for your answer. - Mathematics and Statistics

Sum

Determine whether each of the following is a probability distribution. Give reasons for your answer.

 x 0 1 2 P(x) 0.4 0.4 0.2

#### Solution

Here, pi > 0 AA i = 1, 2, 3
Now consider,

$\sum\limits_{i=1}^{3} \text{P}_i$ = 0.4 + 0.4 + 0.2 = 1

∴ Given distribution is a probability distribution.

Concept: Random Variables and Its Probability Distributions
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Probability Distributions
Exercise 8.1 | Q 1.03 | Page 140