Question

Adult panda weights are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds. The largest pandas weigh over 250 pounds. Using the empirical rule, approximately what percent of the adult pandas weigh over 250 pounds?
16%
32%
47.5%
95%

Answer 1

Answer:

16%

Step-by-step explanation:

THERE

Answer 2

Answer: 16%

Step-by-step explanation:

Given: Mean : $\mu = 200\text{ pounds}$

Standard deviation : $\sigma=50\text{ pounds}$

The formula for z score is given by :-

$z=\dfrac{x-\mu}{\sigma}$

Now, for x=250

$z=\dfrac{250-200}{50}=1$

The P-value $= P(z>1)=1-P(z$

$=1-0.8413=0.1587\approx16\%$

Hence, the percent of the adult pandas weigh over 250 pounds is about 16%.