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yashar806

A variable X follows a normal distribution with mean 10 and standard deviation 5. Another variable Y follows a normal distribution with mean 25 and standard deviation 10. The maximum height of the density curve for X is_______ (i) the maximum height for the density curve for Y , and the area under the density curve for X is__________ (ii) the area under the density curve for Y . (A) (i) greater than, (ii) less than (B) (i) less than, (ii) greater than (C) (i) equal to, (ii) equal to (D) (i) greater than, (ii) equal to (E) (i) less than, (ii) less than

  • one year ago
  • one year ago

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  1. UnkleRhaukus
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    there is something missing from your question

    • one year ago
  2. yashar806
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    no its the actual question

    • one year ago
  3. yashar806
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    • one year ago
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  4. yashar806
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    check that one

    • one year ago
  5. yashar806
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    are u there?

    • one year ago
  6. UnkleRhaukus
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    you have to compair the standard deviations of each curve, remember that the sum of areas under each curve is one

    • one year ago
  7. yashar806
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    but , how ? could you explain it?

    • one year ago
  8. UnkleRhaukus
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    |dw:1363240984062:dw|

    • one year ago
  9. UnkleRhaukus
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    theses are two normal curves with the same mean , but different std.div

    • one year ago
  10. UnkleRhaukus
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    the both have the same area ,; the sum of densities is one

    • one year ago
  11. yashar806
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    there are not same mean?

    • one year ago
  12. UnkleRhaukus
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    can you tell be which curve has the greatest std. div , the red or black curve

    • one year ago
  13. yashar806
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    red?

    • one year ago
  14. UnkleRhaukus
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    right , because less of the red is as close the mean as the black

    • one year ago
  15. UnkleRhaukus
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    now if the means are different will this effect which is taller ?

    • one year ago
  16. yashar806
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    no

    • one year ago
  17. UnkleRhaukus
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    right , the maximun height of the curve is only dependent of the std.div

    • one year ago
  18. UnkleRhaukus
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    So Y has a std.div of 10 and X has a std.div of 5

    • one year ago
  19. UnkleRhaukus
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    something like this |dw:1363241494740:dw|

    • one year ago
  20. yashar806
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    so x has higher density curve ?

    • one year ago
  21. yashar806
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    and the area under the density curve for X is less then (ii) the area under the density curve for Y .

    • one year ago
  22. yashar806
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    is that righ?

    • one year ago
  23. yashar806
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    hello?

    • one year ago
  24. UnkleRhaukus
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    x has higher density ✓

    • one year ago
  25. UnkleRhaukus
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    remember that the area under each density curve must sum to one

    • one year ago
  26. yashar806
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    so its same

    • one year ago
  27. yashar806
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    euqal

    • one year ago
  28. UnkleRhaukus
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    yerh

    • one year ago
  29. yashar806
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    thank you so much

    • one year ago
  30. yashar806
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    i got it

    • one year ago
  31. UnkleRhaukus
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    does it make senses now?

    • one year ago
  32. yashar806
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    yes thanks

    • one year ago
  33. UnkleRhaukus
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    cool

    • one year ago
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