Answer: Hence, the expected value of x is 1.9.
Step-by-step explanation:
Since we have given that
x Probability
0 0.2
1 0.1
2 0.4
3 0.2
4 0.1
So, The expected value of x is given by
[tex]E(x)=\sum xp(x)\\\\E(x)=0\times 0.2+1\times 0.1+2\times 0.4+3\times 0.2+4\times 0.1\\\\E(x)=0+0.1+0.8+0.6+0.4\\\\E(x)=1.9[/tex]
Hence, the expected value of x is 1.9.