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

i am stuck

Answer 2

i can show what i have so far if that helps
i followed the example up to a certain spot

Answer 3

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
\[\mu=np\]
=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

this is where i am stuck

Answer 4

can anyone help figure this out