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%

Explanation:

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

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

The formula for z score is given by :-

`z=(x-\mu)/(\sigma)`

Now, for x=250

`z=(250-200)/(50)=1`

The P-value
`= P(z>1)=1-P(z<1)`

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

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

Answer 2

16%

Explanation:

THERE