part 2 Complete parts (a) and (b) below The number of dogs per household in a sm

Question

part 2

Complete parts (a) and (b) below The number of dogs per household in a small town Dogs Probability 0.644 0.226 0084 0023 Find the variance of the probability distribution. 2 0.015 5. 0.007 2-Q (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 6 dog with a standard deviation of 14 dogs O B. A household on average has 0 9 dog with a standard deviation of 0 9 dog O C. A househoid on average has 0 9 dog with a standard deviation of 0 6 dog OD. A household on average has 0 6 dog with a standard deviation of 0 9 dog Click to select your answerts) 1018/17

Explanation / Answer

E(X) = 0*0.644 + 1*0.226 + 2*0.084 + 3*0.023 + 4*0.015 + 5*0.007 = 0.558

E(X2) = 02*0.644 + 12*0.226 + 22*0.084 + 32*0.023 + 42*0.015 + 52*0.007 = 1.184

Var(X) = E(X2) - (E(X))2 = 1.184 - 0.5582 = 0.9

Standard deviation = sqrt (0.9) = 0.9

B) Option-D) a household on average has 0.6 dog and Standard deviation of 0.9 dog

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