Determine whether this table represents a probability distribution. NS

Michael Dennis

Michael Dennis

Answered question

2021-11-17

Determine whether this table represents a probability distribution.
xP(x)00.0510.320.2530.4
A. Yes, it is a probability distribution
B. No, it is not a probability distribution

Answer & Explanation

Ceitheart

Ceitheart

Beginner2021-11-18Added 14 answers

Step 1
Conditions for the discrete probability distribution:
The sum of all probability is equal to 1.
i.e. P(x)=1
Each probability must be between 0 and 1 inclusive.
i.e. 0P(x)1
From the table,
P(x)=0.05+0.3+0.25+0.4
P(x)=1
Step 2
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.
Since the sum of probability is 1 and each probability [0.05, 0.3, 0.25 and 0.4] is between 0 and 1, inclusive.

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