Given:
The probability distribution table:
x : 0 1 2 3
p(x) : 0.25 0.15 0.05 0.55
To find:
The mean of this probability distribution.
Solution:
The formula for mean of a probability distribution is:
[tex]Mean=\sum x\cdot p(x)[/tex]
Using this formula, we get
[tex]Mean=0\cdot 0.25+1\cdot 0.15+2\cdot 0.05+3\cdot 0.55[/tex]
[tex]Mean=0+0.15+0.10+1.65[/tex]
[tex]Mean=1.9[/tex]
Therefore, the mean of this probability distribution is 1.9.
