Question

Wingspans of adult herons have approximate normal distribution with mean 125 cm and standard

deviation 12 cm. What proportion of herons have wingspan of exactly 140 cm?

Answer 1

0.1056

Explanation:

Given from the question;

Mean=125cm

Standard deviation =12cm

You should find the z* value from mean and standard deviation

The formula to apply is;

z=(wingspan in question - mean)÷standard deviation

`z=(140-125)/(12) =(15)/(12) =1.25`

Using the Z score table read the value of proportion that corresponds to 1.25

From the table, the proportion is 0.1056