1. (a) 0.15
(b) 0.15/0.3 = 0.5
(c) 0.15/0.4 = 0.375
(d) 0.42 = 0.6*0.7
2. (a) 0.2675 = 0.975+0.12+0.05
(b) 0.18/0.7325 = 0.24573
3. (a) 4
(b) 0.1001 = 0.75^8
(c) 0.20764 = C(8,3)*0.25^3*0.75^5
4. (a) 0.6065 = exp(-1/2)
(b) 0.01438 =1-(P(0)+P(1)+P(2))
5. (a) 0.3192=C(20,5)*0.1^5*0.9^15
(b) Z=1.1858, p=1-0.8810 = 0.119
(c) 1/0.1=10
6. 0.3916 = C(5,1)*C(8,3)/C(13,4)
7. (a) P(X<45)=P(Z<1.06)=0.8554
(b) 78.1 = 60+1.28*sqrt(200)
(c) 0.675=(60-mu)/sqrt(200) -> mu=50.454
8. (a) 0.39347 = 1-exp(-1/2)
(b) 89.87 = -30*ln(0.05)
9. 0.8488 = 1-exp(-6)*(1 + 6 + 6^2/2 + 6^3/3!)
10. (a) 2.8
(b) 0.8333 = (4-2)/(4-1.6)
11. 0.2144 = 0.1728 + 0.0384 + 0.0032