the lifespans of crocodiles have an approximately normal distribution, with a mean of 18 years and a…

the lifespans of crocodiles have an approximately normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. what proportion of crocodiles live less than 14 years? find the z - table here. 0.0618 0.0735 0.9265 0.9382

the lifespans of crocodiles have an approximately normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. what proportion of crocodiles live less than 14 years? find the z - table here. 0.0618 0.0735 0.9265 0.9382

Answer

Answer:

A. 0.0618

Explanation:

Step1: Calculate the z - score

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x = 14$, $\mu=18$, $\sigma = 2.6$. So $z=\frac{14 - 18}{2.6}=\frac{- 4}{2.6}\approx - 1.54$.

Step2: Look up the z - score in the z - table

Looking up $z=-1.54$ in the standard normal (z -) table, the value corresponding to it is the proportion of data to the left of this z - score. The value from the z - table for $z=-1.54$ is approximately 0.0618. This represents the proportion of crocodiles that live less than 14 years.