Suppose that the height (at the shoulder) of adult African bull bush elephants is normally distributed with μ = 3.25 meters and σ = .2 meter. The elephant on display at the Smithsonian Institution has height 4 meters and is the largest elephant on record. What is the probability that an adult African bull bush elephant has height 4 meters or more?

Question

anonymous · Answer

Have you learned about z-numbers and tables?

anonymous · Answer

Melli, Melli...wait until you know how to solve one of these, and I'm sure it will make the rest easier. Then, if you get stuck on those, then put them up here - but first try! :)

anonymous · Answer

Yes, but I"m still a little confused.

anonymous · Answer

These are the only one's that I have trouble with. I can do the % ones though.

anonymous · Answer

Because for the % questions I can use invnorm on the calc.

anonymous · Answer

Okay, so you know that here, z = (x-μ)/σ. Now, you can plug in mu and sigma, but your x is simply going to be the value you evaluate (in this case, 4). So, you can easily find the probability of anything LESS than 4 (let's call it "p")using the tables or your calculator, but you know that the maximum probability of anything is 1, so the probability of something greater than 4 is 1-p.

anonymous · Answer

My answer is 3.75. I did z= (4-3.45)/(.2)

anonymous · Answer

However, that is not the correct answer. :/

anonymous · Answer

Probabilities can't be greater than 3.75. :/

anonymous · Answer

***sorry, can't be greater than 1, typo. Double check your steps.

anonymous · Answer

And, you happened to plug in 3.45, when the mean was in fact 3.25.

anonymous · Answer

It was a typo. Re-checking my equation right now.