Answer to Question #264632 in Economics for Tanishq

Question

There are two machines available for cutting corks intended

for use in wine bottles. The first produces corks with diam

eters that are normally distributed with mean 3 cm and stan

dard deviation .1 cm. The second machine produces corks

with diameters that have a normal distribution with mean

3.04 cm and standard deviation .02 cm. Acceptable corks

have diameters between 2.9 cm and 3.1 cm. Which machine

is more likely to produce an acceptable cork?

Answer 1

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