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

ID: 2932805 • Letter: C

Question

Complete parts (a) and (b) below The number of dogs per household in a small town Dogs Probability 0.674 0.206 2 3 4 0.079 0.021 0.0140.006 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. | (Round to one decimal place as needed.) Find the variance of the probability distribution. 2-11 (Round to one decimal place as needed.) Find the standard deviation of the probability distribution. = | | (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation. O A. A household on average has 0.5 dog with a standard deviation of 12 dogs. B. A household on average has 0.5 dog with a standard deviation of 0.9 dog ° C. A household on average has 0.9 dog with a standard deviation of 0.5 dog 0 D. A household on average has 0.8 dog with a standard deviation of 0.9 dog

Explanation / Answer

Answer:

Mean = 0.513

Standard Deviation = 0.907

Variance = 0.822

b) The correct option is B

Occurance(X) Frequency(f) Freq*X (X-mean) (X-mean)2 f*(X-mean)2 0 0.674 0 -0.513 0.263 0.177 1 0.206 0.206 0.487 0.237 0.049 2 0.079 0.158 1.487 2.211 0.175 3 0.021 0.063 2.487 6.185 0.13 4 0.014 0.056 3.487 12.159 0.17 5 0.006 0.03 4.487 20.133 0.121 Total -> 1 0.513 - - 0.822
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