Question

Question Help The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level. (a) Find the mean, variance, and standard deviation of the probability distribution (b) Interpret the results. Hurricanes 0.5 0.410 Probability 0.257 0222 0.4 0.3 0.2 0.1 0.04 0.000 0.012

Answer 1



Х 1 2 3 pex) - 0.416 0.257 0.222 0.093 0.012 Mean Explx) 1*0.416 + 2 x 0.257 +34 0.222 +4 0.093 +5 0.012 2.028 E 1x)² = {x²p(x) 1'*0.416 4 2*0.257 + *0.222 + 4 * 0.098+5²*0.012 5.23 vanance vaux)= E(X²) - (Ex)² 5.29 - (2.028) Vorex) = 11172 2 574. deviation 37d1x) = 1 vasex) ✓ 1.1172 = 1.057

Mean value is 2.028

The spread of the data from the mean value is 1.057

From the histogram it is clear that the distribution is right skewed.

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