the length of pregnancies of humans are normally distributed
the length of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days.
 the length of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days.
 the length of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days.
Solution
We first get the z score for the critical value. As z = (x - u) / s, then as          
           
 x = critical value =    250      
 u = mean =    268      
           
 s = standard deviation =    15      
           
 Thus,          
           
 z = (x - u) / s =    -1.2      
           
 Thus, using a table/technology, the left tailed area of this is          
           
 P(z <   -1.2   ) =    0.11506967 [ANSWER]

