Let us suppose that some article studied the probability of death due to burn injuries. The...

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Let us suppose that some article studied the probability ofdeath due to burn injuries. The identified risk factors in thisstudy are age greater than 60 years, burn injury in more than 40%of body-surface area, and presence of inhalation injury. It isestimated that the probability of death is 0.003, 0.03, 0.33, or0.84, if the injured person has zero, one, two, or three riskfactors, respectively. Suppose that three people are injured in afire and treated independently. Among these three people, twopeople have one risk factor and one person has three risk factors.Let the random variable X denote number of deaths in this fire.Determine the cumulative distribution function for the randomvariable.

Round your answers to five decimal places (e.g.98.76543).

F(x)=             with x < 0

F(x)=             with 0 <= x < 1

F(x)=             with 1 <= x < 2

F(x)=             with 2 <= x < 3

F(x)=             with 3 <= x

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