Question

Adult panda weights are normally distributed with a mean of 200 pounds and a standard deviation of 20 pounds. The largest pandas weigh over 250 pounds.
Approximately what percent of the adult pandas weight over 250 pounds?

Answer 1

Answer:

0.62%

Step-by-step explanation:

Answer 2

$\mathbb P(X>250)=1-\mathbb P(X\le250)$

$\mathbb P(X\le250)=\mathbb P\left(\dfrac{X-200}{20}\le\dfrac{250-200}{20}\right)=\mathbb P(Z\le2.5)\approx0.9938$

which means

$\mathbb P(X>250)\approx1-0.9938=0.0062$

so approximately 0.62% of pandas weight over 250 pounds.