Question

# Advances in medical science and healthier lifestyles have resulted in longer life expectancies. The life expectancy of a female whose current age is x

Normal distributions

Advances in medical science and healthier lifestyles have resulted in longer life expectancies. The life expectancy of a female whose current age is x years old is $$f(x)=0.0069502x^{2}−1.6357x+93.76 60\leq x\leq75$$ years. What is the life expectancy of a female whose current age is 65? Whose current age is 75?

2021-05-26

Using the given function for life expectancy of female whose current age is x years old, the life expectancy of a female whose curreny age is 65 is $$f(65)=0.0069502(65)^2-1.6357(65)+93.76 =29.364595-106.3205+93.76$$

$$\sim16.8 years$$
The life expectancy of a female whose current age is 75 is $$f(75)=0.0069502(75)^2-1.6357(75)+93.76 =39.094875-122.6775+93.76$$

$$\sim10.2 years$$

2021-08-04

Life expectancy for $$x=65$$ is:

$$f(65)=0.0069502(65)^{2}-1.6357(65)+93.76$$

$$=0.0069502(4225)-1.6357(65)+93.76$$

$$=29.364595-106.3205=93.76$$

$$=16.8$$ years

Life expectancy for $$x=75$$ is:

$$f(75)=0.0069502(75)^{2}-1.6357(75)+93.76$$

$$=0.0069502(5625)-1.6357(75)+93.76$$

$$=39.094875-122.6775+93.76$$

$$=10.18$$ years

16.8 years for male who is 65 years old and 10.18 years for a male aged 75 years