uuna.tulmmslüdentyplayerTest.aspxttestld-175811167&centerwin-yes; Math 25 (Sprin

Question

uuna.tulmmslüdentyplayerTest.aspxttestld-175811167&centerwin-yes; Math 25 (Spring 2018) Test: Test 2 (Ch. 4-6) This Question: 1 pt 1 of 14 (0 comp Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs Probability0.656 0.221 0.082 0.021 0.014 0.006 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. 4 -?(Round to one decimal place as needed ) Find the variance of the probability distribution ?2 =D] (Round to one decimal place as needed) Find the standard deviation of the probability distribution. a (Round to one decimal place as needed) (b) Interpret the results in the context of the real-life situation. Click to select your answer(s) search

Explanation / Answer

a) µ = E(X) = 0 * 0.656 + 1 * 0.221 + 2 * 0.082 + 3 * 0.021 + 4 * 0.014 + 5 * 0.006 = 0.5

E(X2) = 02 * 0.656 + 12 * 0.221 + 22 * 0.082 + 32 * 0.021 + 42 * 0.014 + 52 * 0.006 = 1.1

sigma2 = Var(X) = E(X2) - (E(X))2 = 1.1 - 0.52 = 0.9

sigma = SD(X) = sqrt(0.9) = 0.9

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