Question

Marine biologists have determined that the mean age of sea turtles is 80 years with standard deviation of 17.3 years. What is the probability of finding a sea turtle that is over the age of 131.9 years old?

Answer 1

0.0015 or 0.15%

Explanation:

Data

• mean age of sea turtles, μ: 80 years

• standard deviation, σ: 17.3 years

Z score is defined as:

Z = (x - μ)/σ

To find the probability of finding a sea turtle that is over the age of 131.9 years, we have to replace x = 131.9, to get:

Z = (131.9 - 80)/17.3 = 3

The 68 - 95 - 99.7 rules stands that (see figure attached):

P(Z > 3) = 0.0015