The # of oberies occuring during a day in town is arandom variable, X, with the

Question

The # of oberies occuring during a day in town is arandom variable, X, with the followng probabilitydistribution. x    0           1            2            3           4                 5 f(x) .55       .20        .10         .05         .06              .04 Find the mean,the varine,and the standard deviation. The # of oberies occuring during a day in town is arandom variable, X, with the followng probabilitydistribution. x    0           1            2            3           4                 5 f(x) .55       .20        .10         .05         .06              .04 Find the mean,the varine,and the standard deviation.

Explanation / Answer

x 0 1 2 3 4 5 f(x) 0.55 0.2 0.1 0.05 0.06 0.04 x*f(x) 0 0.2 0.2 0.15 0.24 0.2 x2f(x) 0 0.2 0.4 0.45 0.96 1 mean, = x*f(x) = 0.99 variance, 2 = x2f(x) -2= 3.01-(0.99)2 = 2.0299 standard deviation, =2.0299 =1.42

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