(a) Construct a binomial probability distribution with the given parameters. x P(x) x P(x) 0 0.3487 6 0.0001 1 0.3874 7 0.0000 2 0.1937 8 0.0000 3 0.0574 9 0.0000 4 0.0112 10 0.0000 5 0.0015 (Round to four decimal places as needed.) Part 2 (b) Compute the mean and standard deviation of the random variable using mu Subscript Upper XequalsSummation from nothing to nothing left bracket x times Upper P left parenthesis x right parenthesis right bracket and sigma Subscript Upper XequalsStartRoot Summation from nothing to nothing left bracket x squared times Upper P left parenthesis x right parenthesis right bracket minus mu Subscript Upper X Superscript 2 EndRoot. mu Subscript Upper Xequals enter your response here (Round to two decimal places as needed.)