restart;phi := proc(x,a,sig) return evalf(1/(sig*sqrt(2*Pi)))*exp((-1/2)*((x-a)/sig)^2); end proc:Phi := proc(x,a,sig) return evalf(int(phi(t,a,sig),t=-infinity..x)); end proc:plot([phi(x,0,1),Phi(x,0,1)],x=-5..5);

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

NiMkIitmUF4iPSUhIzY=

2*Phi(9.7,10,0.2);

NiMkIitEUzlPOCEjNQ==

# in 1 sigma1-2*Phi(9.9,10,0.2);

NiMkIitHI1wjSFEhIzU=

# in 2 sigma1-2*Phi(9.8,10,0.2);

NiMkIitBXCpvI28hIzU=

# in 3 sigma1-2*Phi(9.7,10,0.2);

NiMkIit2ZiZRbSkhIzU=

Phi(12,10,2)-Phi(5,10,2);

NiMkIisqel04TikhIzU=

b:=10*0.5;

NiM+SSJiRzYiJCIjXSEiIg==

q = sqrt(10*0.5*0.5);

NiMvSSJxRzYiJCIrSSlRNmUiISIq

Phi(5,b,q)-Phi(3,b,q);

NiMsJi1JJmxpbWl0RzYkSSpwcm90ZWN0ZWRHRidJKF9zeXNsaWJHNiI2JCwkKihJI1BpR0YnIyIiIiIiI0YwRi4tSSRlcmZHRiY2IywkKihGMEYuLCZJInRHRilGLyEiJkYvRi9JInFHRikhIiJGLkYvIyErLDlyJSo+IiwrKysrKyIvRjcsJEkpaW5maW5pdHlHRidGOkYvLUYlNiQsJkYsRjsqKC1GMjYjKiZGMEYuRjlGOkYvRjBGLkYtRi5GO0Y+Rjo=

0.01*1+0.07*2+0.17*3+0.36*4+0.28*5+0.11*6;

NiMkIiQ7JSEiIw==

1-Phi(10,12,2);

NiMkIitodVc4JSkhIzU=

Phi(8,12,2);

NiMkIio8OF1GIyEjNQ==

Phi(16,12,2)-Phi(9,12,2);

NiMkIitqbVUvIiohIzU=

Phi(14,12,2)-Phi(6,12,2);

NiMkIit0JVsqKlIpISM1