find the mean and variance and standard deviation of the probability distributio

Question

find the mean and variance and standard deviation of the probability distribution abd (B) interpret the resuit

Finding the Mean, Variance, find the mean, variance, and standard deviation of the probability distribution, and (b) infeYpret the results. Dogs The number of dogs per household in a small town Baseball The number of games played in the World Series from 1903 to 2012 (Source: Adapted from Major League Baseball) Camping Chairs The number of defects per batch of camping chairs inspected Extracurricular Activities The number of school-related extracurricular activities per student Hurricanes The histogram shows the distribution of hurricanes that have hit the U.S. mainland by category, where 1 is the weakest level and 5 is the strongest level. (Source: National Oceanic & Atmospheric Administration) Hurricanes That Have Hit the U.S.

Explanation / Answer

29.

Consider:

Thus,  
  
E(x) = Expected value = mean = Sum(xP(x)) =    0.502 [ANSWER]

Var(x) = E(x^2) - E(x)^2 =    0.831996 [ANSWER, VARIANCE]

s(x) = sqrt [Var(x)] =    0.912138147 [ANSWER, STANDARD DEVIATON]

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Hence, the expected value of dogs in a household is 0.502, with standard deviation of 0.9121.

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x P(x) x P(x) x^2 P(x) 0 0.686 0 0 1 0.195 0.195 0.195 2 0.077 0.154 0.308 3 0.022 0.066 0.198 4 0.013 0.052 0.208 5 0.007 0.035 0.175

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