Approximation of binomial to normal
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The proportion of defective telephones manufactured on Mondays is 0.3. If a sample of 20 telephones is selected, what is the probability that 5 of the phones in the sample are defective? Use the normal distribution to approximate the binomial. Since this is a continuous distribution approximating a discrete distribution, use X values of 4.5 and 5.5. Show your work.
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μ = np and σ = √ npq
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Solution Summary
The approximation of binomial to normal functions are determined.
Solution Preview
Using normal approximation we have
μ = np = 20*0.3 = 6
σ = √ npq = ...
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