1/2^100 2^100
2^100/5e9/365/24/3600
2^100/5e9/365/24/3600/13.8e9
sum(dbinom(45:55,100,.5))
pbinom(55,100,.5)-pbinom(44.5,100,.5)
sum(dbinom(90:110,200,.5))
sum(dbinom(450:550,1000,.5))
n <- 1000000 set.seed(13579) ## First sample x <- rnorm(n) u <- rnorm(n) y <- 1+0.7*x+u lm(y~x)$coef ## Second sample u <- rnorm(n) y <- 1+0.7*x+u lm(y~x)$coef