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

Answer:

0.1056

Step-by-step 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

$z=\frac{140-125}{12} =\frac{15}{12} =1.25$

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

From the table, the proportion is 0.1056