Stats_Quiz dpqr2

ppois(8,3) - ppois(3,5)

1) Y ~ Bin(n = 10, p = 0.4). $P(Y\ge 8)$

#P(Y>=8) = 1 - P(Y<=7)
1 - pbinom(7,10,0.4)
0.01229455  
 
# not recommended
pbinom(7,10,0.4,lower.tail = FALSE)
0.01229455

2) X ~ Pois(lambda = 5). $P(3<x\le 8)$

ppois(8,5) - ppois(3,5)
0.6668804

3) H ~ Geom(p = 0.6). $P(H>10)$

1 - pgeom(10,0.6)
4.194304e-05

4) Suppose Z ~ Bin(n = 20, p = 0.5). Find z s/t $P(Z\le z)$ = 0.2517223)

qbinom(0.2517223, 20, 0.5)
8

5) A ~ Pois(lambda=2) bruh how

round(dpois(2,2),4)
0.2707