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anonymous

  • 5 years ago

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?

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  1. anonymous
    • 5 years ago
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    Have you learned about z-numbers and tables?

  2. anonymous
    • 5 years ago
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    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! :)

  3. anonymous
    • 5 years ago
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    Yes, but I"m still a little confused.

  4. anonymous
    • 5 years ago
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    These are the only one's that I have trouble with. I can do the % ones though.

  5. anonymous
    • 5 years ago
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    Because for the % questions I can use invnorm on the calc.

  6. anonymous
    • 5 years ago
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    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.

  7. anonymous
    • 5 years ago
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    My answer is 3.75. I did z= (4-3.45)/(.2)

  8. anonymous
    • 5 years ago
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    However, that is not the correct answer. :/

  9. anonymous
    • 5 years ago
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    Probabilities can't be greater than 3.75. :/

  10. anonymous
    • 5 years ago
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    ***sorry, can't be greater than 1, typo. Double check your steps.

  11. anonymous
    • 5 years ago
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    And, you happened to plug in 3.45, when the mean was in fact 3.25.

  12. anonymous
    • 5 years ago
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    It was a typo. Re-checking my equation right now.

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