Question

For pigs, the length of pregnancies varies according to a normal distribution with a mean of 114 days and a standard deviation of 5 days. According to the Empirical Rule, the length of approximately 68% of all pig pregnancies will fall between _____ and _____ days.

Answer 1

Answer: The length of approximately 68% of all pig pregnancies will fall between 109 days and 119 days.

Explanation:

According to the empirical rule , 68% of the population falls within one standard deviations from the mean.

Given : For pigs, the length of pregnancies varies according to a normal distribution with a mean of 114 days and a standard deviation of 5 days.

According to the Empirical Rule, the length of approximately 68% of all pig pregnancies will fall between
`114-1(5)` days and
`114+1(5)` days .

i.e. the length of approximately 68% of all pig pregnancies will fall between 109 days and 119 days.