Question

1) Sunshine Insurance offers life insurance to men age 80. Mortality tables indicate the likelihood of a 80-year-old man surviving another year is .94. If the policy is offered to six men age 80 a. What is the probability all eight men survive the year? b. What is the probability that at least one survives? hills that he

Answer 1

X i tabeer of 80-year who = 0.94 3 AL sverives. 0.94 P ~ Binonal (n = 8 Pl all 8 survive) P(x = 8 8-8 (8) (6.94) (1 - 0.99) 0.6096

(6 PC atleast one survive P(x > 1) P(X<1) p(x = o) (3) 60.94)(1-0194) (1168 x10-10) 1. Ir 8-o 0.9999 аралы a n = 2 p=0.55) 9-X (9) Lt. Xi sumber of selesen that reach Benonial (n P(x-2) = Congo)? (1-0.36) (a) P ( none s) to 10) (1=0.55) 3 x=Oglang? a-o 0.0207 (6) P ( all reach up) P(x=9) -6) (0.35) (1-045) a-9 0.0000788

(e) PC atleast 2 reach up) 1 - P(x < 2 [ P(x = 0+ P(x=0 (0.0207 + 0.1004) - 0.8789 11 (d) p (almost 1 reach eep P ( x 41) P(x=o) + P(x=1) 0.0207 -+ 0.1004 012/1

(e. Consider events A: atleast Bi atrast I reach up { x71) (x{1) 1 reach up 1 + + 7- 0 1 2 8 4 5 q A must be not