Question

if np >5 and nq>5 estimate P (fewer than 4) with n=13 p=0.4 by using normal distribution as an approximate to the binomial distribution if np <5 or nq< then state that the normal approximation is not suitable

Answer 1

q=1-p
-1-0.4
-0.6
np-13*0.4=5.2
nq= 13*0.6= 7.8
np=5.2
nq=7.8
μ=np
=13*0.4 =5.2
\[\sqrt{13∗0.4∗0.6}\]=1.766
x=5-0.5
=4.5
x-u/o =(5-0.5)/-6=1.766
=0.8493

Answer 2

there is one more part but i cant figure it out HELP