Question

Determine the required value of the missing probability to make the distribution a discrete probability distribution P...

Determine the required value of the missing probability to make the distribution a discrete probability distribution

P(4)=____


X       P(x)

3      0.25

4      ?

5      0.39

6      0.15


0 1
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Answer #1
Concepts and reason

A discrete probability distribution for the discrete random variable lists each possible value the variable can assume, together with its probability.

Fundamentals

A table, formula that lists all possible values a discrete random variable can assume together with associated probabilities.

The total probability is always equal to 1.

Ep(x)=P(X = 3)+P(X = 4)+P(X = 5) + P(X =6)
1=P(X = 3)+P(X = 4)+P(X = 5)+P(X =6)

The given probability table is,

x 3 4 5 6
P(x) 0.25? 0.39 0.15

Ep(x)=1
P(X = 3)+P( X = 4)+P(X = 5)+ P( X = 6)=1
0.25+P( X = 4)+0.39+0.15=1
P(X = 4)+0.79=1
P(X = 4)=1-0.79
P( X =4)=0.21

Ans:

The missing probability value is, 0.21.

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