SOLUTION: 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 distr

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Question 914210: 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. SHOW ALL WORK
x 0 1 2 3 4 5
P(x) 0.02 0.14 0.28 0.24 0.17 0.15
Mean (rounded to the nearest tenth as needed) _______
Standard deviation (rounded to the nearest tenth as needed)_________
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Add the probabilities.
They sum to 1 so it is a valid probability distribution.
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mu=sum%28x%2AP%28x%29%29=0%2A0.02%2B1%2A0.14%2B2%2A0.28%2B3%2A0.24%2B4%2A0.17%2B5%2A0.15
mu=2.85
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sigma%5E2=9.89-8.1225
sigma%5E2=1.7675
sigma=1.329474