Quality control reports that are not available to consumersindicate that 20% of

Question

Quality control reports that are not available to consumersindicate that 20% of Hot Shot ovens have faulty control panels. Theowner of an apartment complex has just purchased 120 of theseovens. Assume that the ovens purchased constitute a randomsample.
a. Can you use the normal approximation to the binomialdistribution to estimate the probability that between 22 and 35 ofthem have faulty control panels? Explain
b. Estimate the probability that between 22 and 35 of them(including 22 and 35) have faulty control panels.

Explanation / Answer

Given X~Binomial(n=120, p=0.2) By using Binomial distribution approximated Normaldistribution. X~Normal(=n*p=120*0.2=24,=n*p*(1-p)=sqrt(120*0.2*0.8)=4.38) (a) Yes. (b) P(22

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