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yashar806

  • 2 years ago

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

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  1. UnkleRhaukus
    • 2 years ago
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    there is something missing from your question

  2. yashar806
    • 2 years ago
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    no its the actual question

  3. yashar806
    • 2 years ago
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  4. yashar806
    • 2 years ago
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    check that one

  5. yashar806
    • 2 years ago
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    are u there?

  6. UnkleRhaukus
    • 2 years ago
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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

  7. yashar806
    • 2 years ago
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    but , how ? could you explain it?

  8. UnkleRhaukus
    • 2 years ago
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    |dw:1363240984062:dw|

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

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

  11. yashar806
    • 2 years ago
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    there are not same mean?

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

  13. yashar806
    • 2 years ago
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    red?

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

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

  16. yashar806
    • 2 years ago
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    no

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

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

  19. UnkleRhaukus
    • 2 years ago
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    something like this |dw:1363241494740:dw|

  20. yashar806
    • 2 years ago
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    so x has higher density curve ?

  21. yashar806
    • 2 years ago
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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 .

  22. yashar806
    • 2 years ago
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    is that righ?

  23. yashar806
    • 2 years ago
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    hello?

  24. UnkleRhaukus
    • 2 years ago
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    x has higher density ✓

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

  26. yashar806
    • 2 years ago
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    so its same

  27. yashar806
    • 2 years ago
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    euqal

  28. UnkleRhaukus
    • 2 years ago
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    yerh

  29. yashar806
    • 2 years ago
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    thank you so much

  30. yashar806
    • 2 years ago
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    i got it

  31. UnkleRhaukus
    • 2 years ago
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    does it make senses now?

  32. yashar806
    • 2 years ago
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    yes thanks

  33. UnkleRhaukus
    • 2 years ago
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    cool

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