1.28. A midwestern university has three types of health plans: a health main- tenance organization (HMO),...

Transcribed Image Text:

1.28. A midwestern university has three types of health plans: a health main- tenance organization (HMO), a preferred provider organization (PPO), and a traditional fee for service plan (FFS). Experience dictates that people change plans according to the following transition matrix HMO PPO FFS HMO .85 .1 .05 PPO .2 FFS .1 73 . .1 3 .6 1.12. EXERCISES 67 In 2000, the percentages for the three plans were HMO:30%, PPO:25%, and FFS:45%. (a) What will be the percentages for the three plans in 2001? (b) What is the long run fraction choosing each of the three plans? 1. Consider the signal x(1) 1, -21 <2 Let x(t) be the periodic extension of x,(t). This signal is Periodic Signal 2.5 2 1.5 0.5 -0.5 1 www -1H -1.5 2 time, sec (a) (5) What is the fundamental period? (b) (10) Suppose we wish to compute the exponential Fourier series of this signal. Write the integral expression(s) needed to compute the coefficients. (c) (20) Evaluate your integral in part (b) to find the coefficients X. Hint: xe dx=[] (d) (5) Substitute into the Fourier series. x(t) = x_e* = [[2]] jmn) MFO (e) (5) Show that the m=l terms reduce to the following form. je (4)" 1.28. A midwestern university has three types of health plans: a health main- tenance organization (HMO), a preferred provider organization (PPO), and a traditional fee for service plan (FFS). Experience dictates that people change plans according to the following transition matrix HMO PPO FFS HMO .85 .1 .05 PPO .2 FFS .1 73 . .1 3 .6 1.12. EXERCISES 67 In 2000, the percentages for the three plans were HMO:30%, PPO:25%, and FFS:45%. (a) What will be the percentages for the three plans in 2001? (b) What is the long run fraction choosing each of the three plans? 1. Consider the signal x(1) 1, -21 <2 Let x(t) be the periodic extension of x,(t). This signal is Periodic Signal 2.5 2 1.5 0.5 -0.5 1 www -1H -1.5 2 time, sec (a) (5) What is the fundamental period? (b) (10) Suppose we wish to compute the exponential Fourier series of this signal. Write the integral expression(s) needed to compute the coefficients. (c) (20) Evaluate your integral in part (b) to find the coefficients X. Hint: xe dx=[] (d) (5) Substitute into the Fourier series. x(t) = x_e* = [[2]] jmn) MFO (e) (5) Show that the m=l terms reduce to the following form. je (4)"