Notes Ask Your T There are two machines available for cutting corks intended for

Question

Notes Ask Your T There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard devation o 10 cm. The second machine produces corks with diameters that have a normal distribut on with mean 3.04 cm and star ard deviation o 04 cm. Acceptable corks have diameters between 2.9 cm, and 3.1 cr . What is the that the first machine produces an acceptable cork? (Round your answer to four decimal places) what is the that the second machine produces an acceptable cork? (Round your answer to four decimal places) which machine is more likely to produce an acceptable cork? 0 the first machine the second machine

Explanation / Answer

a) probability that first m/c produces accepttable cork =P(2.9<X<3.1)=P((2.9-3)/0.1<Z<(3.1-3)/0.1)

=P(-1<Z<1)=0.8413-0.1586 =0.6827

b) probability that second  m/c produces accepttable cork =P(2.9<X<3.1)=P((2.9-3.04)/0.04<Z<(3.1-3.04)/0.04)

=P(-3.5<Z<1.5)=0.9332-0.0002 =0.9330

please revert

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