a) Determine the cumulative distribution function of nickel charge. b) Determine the mean and variance of the nickel charge. 3-56. In a NiCd battery, a fully charged cell is composed of nickelic hydroxide. Nickel is an element that has multiple oxidation states. Assume the following proportions of the states:
a. The cumulative distribution is x F(X) 0 0.15 2 0.15+0.37= 0.52 3 0.15+0.37+0.33=0.85 4 0.15+0.37+0.33+0.15=1 ------------------------------------------------- b. E(X)= mean=0*0.15+2*0.37+3*0.33+4*0.15=2.33 E(X^2)=0*0.15+2^2*0.37+3^2*0.33+4^2*0.15= 6.85 Var(X)=E(X^2)-[E(X)]^2 = 6.85 -2.33^2 =1.4211
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