Normal Distribution, percent less than mean minus one std. dev

307 Views Asked by At

GRE Question, part b. My answer is 16%, but the book says 15%. Why?

mean = 65 cm stdev = 5 cm

Probability that penguin chosen at random will be less than 60 cm is 16%, it shows in Normal Distribution graph. Why would the book say it is 15%

enter image description here

Update

During GRE, we can use standard calculator, i.e no scientific calculator. And I don't believe they will provide standard distribution table.

Kindly explain how to DERIVE the 15%, I wish to understand the mathematics.

1

There are 1 best solutions below

4
On

The percentages shown in your diagram are only approximates. To more significant figures your answer should be 15.866..% so both your answer and the book answer are just rounded differently.

If you look at the question it states: "Give your answer to the nearest 0.05."