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]
