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.
1 answer:
The Normal approximation to the binomial
<span>is as follows
</span>
<span>mean=13(.5)=6.5 </span>
<span>variance=6.5(.5)=3.25 </span>
<span>Pr[fewer than 4]= </span>
<span>Pr[N<=3] Apply the continuity correction </span>
<span>Pr[N<=3.5]~=Pr[Z<3.5-6.5/sqrt(3.25)]=
</span>
<span>Pr[Z<-1.66]=0.048457226
I hope my answer has come to your help. God bless and have a nice day ahead!</span>
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