SOLUTION: normal distribution N(160,10) P(150<X<170) mean=160,standard deriviation=sqrt(10) P(X<170)=phi(170-160/sqrt(10)=0.9992 P(X>150)=1-P(X<150)=1-phi(150-160/sqrt(10))=1-phi(-3.16)=

Algebra ->  Probability-and-statistics -> SOLUTION: normal distribution N(160,10) P(150<X<170) mean=160,standard deriviation=sqrt(10) P(X<170)=phi(170-160/sqrt(10)=0.9992 P(X>150)=1-P(X<150)=1-phi(150-160/sqrt(10))=1-phi(-3.16)=      Log On


   

Question 388754: normal distribution N(160,10)
P(150 mean=160,standard deriviation=sqrt(10)
P(X<170)=phi(170-160/sqrt(10)=0.9992
P(X>150)=1-P(X<150)=1-phi(150-160/sqrt(10))=1-phi(-3.16)=1-0.0008=0.9992
-->p=0
can you check this answer, what's wrong?
If the result is wrong, can you give me correct answer
thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The standard deviation is sigma=10, which means that you should have %28170-160%29%2F10 and NOT %28170-160%29%2Fsqrt%2810%29


Note: remember that the formula is z=%28x-mu%29%2Fsigma


The same applies with the second expression. Let me know if this helps.