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 Dogs Probability0.6460.2230.0860.0230.014 0 2 0.009 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. -L] (Round to one decimal place as needed.) Find the variance of the probability distribution. 2 # (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 06 dog with a standard deviation of 1.0 dog. O B. A household on average has 0.9 dog with a standard deviation of 0.6 dog. O C. A household on average has 0.6 dog with a standard deviation of 16 dogs O D. A household on average has 0.9 dog with a standard deviation of 0.9 dog

Explanation / Answer

a)

mean ==xp(x)

               = 0*0.646 +1*0.223 +2*0.086 + 3*0.023 +4*0.014 +5*0.009

               =0.565

               =0.6 (rounded to one decimal place)

variance =^2=x^2p(x) ^2

                              =[(0)^2*0.646 +(1)^2*0.223 +(2)^2*0.086 + (3)^2*0.023 +(4)^2*0.014 +(5)^2*0.009] -0.6^2

                              =1.223 -0.565^2

                              =0.9

sd = =sqrt(variance) =sqrt(0.9) =1

b)

since mean =0.6 and sd =1

so its choice A

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