Answer
Mean:5, standard deviation:1.6.
Work Step by Step
Mean: $0\cdot0.001+1\cdot0.01+2\cdot0.044+3\cdot0.117+4\cdot0.205+5\cdot0.246+6\cdot0.205+7\cdot0.117+8\cdot0.044+9\cdot0.01+10\cdot0.001=5$. Standard deviation: $\sqrt{(0-5)^2\cdot0.001+(1-5)^2 \cdot0.01+(2-5)^2\cdot0.044+(3-5)^2\cdot0.117+(4-5)^2\cdot0.205+(5-5)^2\cdot0.246+(6-5)^2\cdot0.205+(7-5)^2\cdot0.117+(8-5)^2\cdot0.044+(9-5)^2\cdot0.01+(10-5)^2\cdot0.001}=1.6$.