MATH SOLVE

4 months ago

Q:
# 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.

Accepted Solution

A:

Answer: The length of approximately 68% of all pig pregnancies will fall between 109 days and 119 days.Step-by-step 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 [tex]114-1(5)[/tex] days and [tex]114+1(5)[/tex] days .i.e. the length of approximately 68% of all pig pregnancies will fall between 109 days and 119 days.