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anonymous

  • one year ago

Suppose x is a normally distributed random variable with mean = 30 and standard deviation = 8. Find the value of the random variable, call it x(0), such that a. P(x>=x(0) = .5 b. P(x < x(0) = .025

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  1. amistre64
    • one year ago
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    and what do you have to work with?

  2. amistre64
    • one year ago
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    and every stats student should know what the random variable for half of a normal distribution is ...

  3. anonymous
    • one year ago
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    What do you mean by that? I believe that is all that is provided in the problem

  4. amistre64
    • one year ago
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    i am not taking your course, so I do not know what you have at your disposal to work with .... the information is beside the point.

  5. amistre64
    • one year ago
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    ti83, or tables, or what?

  6. anonymous
    • one year ago
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    Oh, I see. The problem and my teacher doesn't specify. I'm not sure what method to use, but I guess by regular and calclulator methods work

  7. amistre64
    • one year ago
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    do you have a stats calculator?

  8. anonymous
    • one year ago
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    Yea a ti-84

  9. anonymous
    • one year ago
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    How would I show my work though?

  10. amistre64
    • one year ago
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    can you find the distribution menu?

  11. anonymous
    • one year ago
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    Yea I think so

  12. amistre64
    • one year ago
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    well, you show your work by writing down the process you took to get the answer. i used this function and inputed this information, and got these results ...

  13. amistre64
    • one year ago
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    you want what is called: INVNORM

  14. anonymous
    • one year ago
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    ok i see invnorm

  15. amistre64
    • one year ago
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    we will also prolly want to use the z formula, becuase all the invnorm function does is give us a zscore \[z=\frac{x-mean}{sd}\] since we are looking for x, we algebra it into \[x=mean+z(sd)\] given that z is the result of the invnorm function

  16. amistre64
    • one year ago
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    a. P(x>=x(0)) = .5 invnorm(.5), hit enter b. P(x < x(0) = .025 invnorm(.025), hit enter

  17. anonymous
    • one year ago
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    Ok I see, thank you

  18. amistre64
    • one year ago
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    seeing that they give you the mean and sd x = 30 + 8z

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