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. If the table is a probability distribution. what is its mean? Select the correct choice below and fill any answer boxes within your choice. A. its mean is. (Round to the nearest tenth as need.) B. The table is not a probability distribution.

Explanation / Answer

To check if the table is probability distribution, we need to add all probabilities and they should add to 1. therefore 0.03+0.11+0.25+0.34+0.17+0.1=1

thus, mean is sum of x*p(x) =0*0.03+1*0.11+2*0.25+3*0.34+4*0.17+5*0.1 =2.81

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