Question

Generate two values for Normal distribution with mean as 20 and variance as 9, and 2 values for Binomial distribution with P as 0.2.

Answer 1

Here we use R

R-code is

mean=60;var=9

U=runif(2);U

#[1] 0.03752404 0.52682849

X1=mean+sqrt(var)*(sqrt(-2*log(U[1]))*cos(2*pi*U[2]))

X2=mean+sqrt(var)*(sqrt(-2*log(U[1]))*sin(2*pi*U[2]))

print(c(X1,X2))

#[1] 52.42196 58.71034

#Two values for normal distribution with mean=60 & var=9 is X1=52.42196,X2=58.71034

X={}

P=0.2

for(i in 1:2) if(U[i]<=P) X[i]=1 else X[i]=0

print(X)

#[1] 1 0

#Two values for binomial distribution with n=1 & P=0.2 is X1=1,X2=0