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?

Question

asked Sep 1, 2020 37.1k views

1 Answer

Dave Hartnoll · Answer 1 · 2020-09-06T14:46:20+0000

Answer:

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