The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm.

What is the probability a salamander has length less than 13cm?

(provide your answer as a decimal)

Answer: 0.1587

Step-by-step explanation:

So we were given;

x = 13

Mean = 15

Standard deviation = 2

We will be using the Z score formula

Z = (x - mean) / standard deviation

So z = (13 - 15) / 2

z = - 2/2

z = - 1

So we check for - 1 in the z table

z = 0.1587