Normal distribution for x>3,5

  • Thread starter DamjanMk
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  • #1
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Main Question or Discussion Point

Hi,
I'd like to know the value that [tex]\Phi(x)[/tex] of a normal distribution is approximated when x> 3,5.
I assume it is 1, since the value for x=3,49 is 0,9998...
But I got some answers at the university that it might be 0,5

Thanks
 

Answers and Replies

  • #2
statdad
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There is no finite value of for which it is 1: that is, if you calculate precisely, it will always be the case that [itex] \Phi(x) < 1 [/itex] for a finite number [itex] x [/itex]. For example, [itex] \Phi(4) \approx 0.9999683 [/itex] and [itex] \Phi(5) \approx 0.9999997 [/itex] (calculation from R software). However, just like my two examples, the values essentially get so close to 1 that the difference is, for almost all situations, immaterial.

For your second comment ("But I got some answers at the university that it might be 0,5") - if you mean 0.5, that is definitely false: the only value that gives [itex] \Phi(x) = 0.5 [/itex] is
[itex] x = 0 [/itex].
 
  • #3
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Thank you :)
 

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