Montgomery, Applied Statistics and Probability for Engineers, 7e Help I System A

Question

Montgomery, Applied Statistics and Probability for Engineers, 7e Help I System Announcements PRINTER VERSION BACK NEXT Reserve Problems Chapter 3 Section 2 Problem 1 / Your answer is partially correct. Try again. Let us suppose that some article studied the probability of death due to burn injuries. The identified risk factors in this study are age greater than 60 years, burn injury in more than 40% of body-surface area, and presence of inhalation injury. It is estimated that the probability of death is 0.003, 0.03, 0.33, or 0.74, if the injured person has zero, one, two, or three risk factors, respectively. Suppose that three people are injured in a fire and treated independently. Among these three people, two people 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 random variable Round your answers to five decimal places (e.g. 98.76543). 0 F(x)- F(x)- 10.24463 F(x)E 10.71140 F(x)- F(x)- with x

Explanation / Answer

F(x) =0 x<0

F(x)=(1-0.03)*(1-0.03)*(1-0.74)=0.24463 0<=x<1

F(x)=0.24463+0.03*(1-0.03)*(1-0.74)+(1-0.03)*0.03*(1-0.74)+(1-0.03)*(1-0.03)*0.74=0.95603 1<=x<2

F(x)=0.95603+0.03*0.03*(1-0.74)+(1-0.03)*0.03*0.74+0.03*(1-0.03)*0.74=0.99933 2<=x<3

F(x)=0.99933+0.03*0.03*0.74=1 3<=x

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.