Given the following probability distribution:

$\backslash$table$[[x,0,1,2,3,4,5],[P(x),0\mathrm{.}10,0\mathrm{.}15,0\mathrm{.}35,0\mathrm{.}25,0\mathrm{.}10,0\mathrm{.}05]]$

a$.$ Find the expected value of $x$ using this probability distribution.Please keep $2$ decimals.

b$.$ Find the standard deviation of $x$ using this probability distribution. Please keep $3$ decimals.