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The diameter of each cork, as described in Applied Example $6.13,$ is measured in several places and an average diameter is reported for the cork. The average diameter has a normal distribution with a mean of $24.0 \mathrm{mm}$ and standard deviation of $0.13 \mathrm{mm}.$a. The specs for this variable, given in Applied Example $6.13,$ were $"24 \mathrm{mm}+0.6 \mathrm{mm} /-0.4 \mathrm{mm}"$ Express these specs as an interval.b. What percentage of the corks is expected to fall within the specs?c. What percentage of the tested corks will have an average diameter of more than 24.5 millimeters?d. What percentage of the tested corks will have an average diameter within 0.35 millimeter of 24?

a. from $23.6 \mathrm{~mm}$ to $24.6 \mathrm{~mm}$b. $99.90 \%$c. $100 \%$d. $99.29 \%$

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