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

0.62%

Explanation:

Answer 2

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


`\mathbb P(X\le250)=\mathbb P\left((X-200)/(20)\le(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.