Solution :
The data is normally distributed.
The standard deviation is 18 days
Here the data is normally distributed and 54 days is 3 days of standard deviation.
Therefore, the percentage of the births that would be [tex]\text{expected to occur}[/tex] within the 54 days of the mean [tex]\text{pregnancy}[/tex] length is given by :
= P( -3 < Z < 3)
= 0.9544
= 95 %
Therefore, about 95% of the births would be [tex]\text{expected to occur}[/tex] within 54 days of the men [tex]\text{pregnancy}[/tex] length.