In the accompanying table, the random variable x represents the number of televi

Question

In the accompanying table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability distribution, find its mean and standard deviation. Click the icon to view the data. If the table is a probability distribution, what is its mean? Select the correct choice below and fill in any answer boxes within your choice. 0 A. Its mean is O B. The table is not a probability distribution. If the table is apobabilty distribution, what is its standard deviation? Select the correct choice below and fill in any answer boxes within your choice. OA. Its standard deviation is ( B. The table is not a probability distribution. (Round to the nearest tenth as needed.) (Round to the nearest tenth as needed.)

Explanation / Answer

mean=xP(X=x)

=0*0.03+1*0.12+2*0.23+3*0.33+4*0.15+5*0.14

=2.87

=2.9

mean is 2.9

Solutionb:

standard deviation is

=totalx^2P(X=x)-(mean)^2

0^2*0.03+1^2*0.12+2^2*0.23+3^2*0.33+4^2*0.15+5^2*0.14-(2.87)^2

=1.7

Standard deviation=1.7

=1.7

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