Complete parts (a) and (b) below. The number of dogs per household in a small to

Question

Complete parts (a) and (b) below. The number of dogs per household in a small town Find the mean of the probability distribution. mu = (Round to one decimal place as needed.) Find the variance of the probability distribution. sigma^2 = (Round to one decimal place as needed.) Find the standard deviation of the probability distribution. sigma = (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation. A. A household on average has 0.9 dog with a standard deviation of 0.5 dog. B. A household on average has 0.9 dog with a standard deviation of 0.9 dog. C. A household on average has 0.5 dog with a standard deviation of 14 dogs. D. A household on average has 0.5 dog with a standard deviation of 0.9 dog.

Explanation / Answer

(a) Mean = 0.5

(b) Variance = 0.9

(c) Standard deviation = 0.9

(d) Option D.

x P(x) x * P(x) x^2 * P(x) 0 0.666 0 0 1 0.208 0.208 0.208 2 0.081 0.162 0.324 3 0.025 0.075 0.225 4 0.013 0.052 0.208 5 0.007 0.035 0.175 = 1 0.532 1.14 Mean = [x * P(x)] = 0.532 Variance = [x^2 * P(x)] - Mean^2 = 0.857 SD = Variance = 0.926

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