Math / Data & Statistics

QuestionWeights of animals which are modeled by $\mathrm{N}(420 \mathrm{lbs}, 50 \mathrm{lbs}$ .)
6. There is a $94.52 \%$ chance of having the same weight as Jerry the Giraffe. How many standard deviations from the mean is he? a. 1.60 standard deviations b. 1.65 standard deviations light green c. 2.00 standard deviations black d. -1.50 standard deviations yellow grey
7. How much does Jerry weigh? a. 502 lbs purple b. 500 lbs dark red c. 520 lbs dark green d. 345 lbs light brown

Studdy Solution
Rearrange the formula to solve for $X$ :
$X = z \cdot \sigma + \mu$
Substitute $z = 1.60$ , $\sigma = 50$ , and $\mu = 420$ :
$X = 1.60 \cdot 50 + 420 = 80 + 420 = 500$
Jerry's weight is:
$\boxed{500 \text{ lbs}}$
The number of standard deviations from the mean is:
$\boxed{1.60}$

View Full Solution - Free

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms