Determine whether or not the table is a probability distribution In the accompan

Question

Determine whether or not the table is a probability distribution

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. Its mean is (Round to the nearest tenth as needed.) The table is not a probability distribution. If the table is a probability distribution, what is its standard deviation? Select the correct choice below and fill in any answer boxes within your choice. Its standard deviation is (Round to the nearest tenth as needed.) The table is not a probability distribution.

Explanation / Answer

mean =2.92

std deviation =(10.26-2.922)1/2 =1.3167

x P(x) xP(x) x^2P(X) 0 0.01 0 0 1 0.14 0.14 0.14 2 0.27 0.54 1.08 3 0.24 0.72 2.16 4 0.18 0.72 2.88 5 0.16 0.8 4 total 2.92 10.26

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