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Q56Section C (Section C)56 of 60

Coefficient of variation of binomial sum

A vaccine, when it is administered to an individual, produces no side effects with probability 45\frac{4}{5}, mild side effects with probability 215\frac{2}{15} and severe side effects with probability 115\frac{1}{15}. Assume that the development of side effects is independent across individuals. The vaccine was administered to 10001000 randomly selected individuals. If X1X_1 denotes the number of individuals who developed mild side effects and X2X_2 denotes the number of individuals who developed severe side effects, then the coefficient of variation of X1+X2X_1+X_2 equals __________ (round off to 22 decimal places)

Numerical answer: type the number (no options).

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