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Normal Distribution Help

I'm stuck on this question for normal distribution, if anyone can help me that would be great.

If X is a normally distributed variable with a mean of 24 and standard deviation of 2. Find:

(a) p(X>28 | X 26)
answer: 0.1434

(b) p(26 < X < 28 | X 27)
answer: 0.6595

thank you so much!
Original post by need_math
I'm stuck on this question for normal distribution, if anyone can help me that would be great.

If X is a normally distributed variable with a mean of 24 and standard deviation of 2. Find:

(a) p(X>28 | X 26)
answer: 0.1434

(b) p(26 < X < 28 | X 27)
answer: 0.6595

thank you so much!


Ok
Do you know how to convert to the standard normal? X to Z?
Do you know the P(A|B) from the probability section? (A given B)
Reply 2
Original post by m4ths/maths247
Ok
Do you know how to convert to the standard normal? X to Z?
Do you know the P(A|B) from the probability section? (A given B)


I know how to do those 2 things but I don't know how to use it in this question
Original post by need_math
I know how to do those 2 things but I don't know how to use it in this question


OK find the P(X>28), write it down.
find P(X>26), write it down.

We can go from there.
Reply 4
Original post by m4ths/maths247
OK find the P(X>28), write it down.
find P(X>26), write it down.

We can go from there.


p(X>28) = 0.0228

P(X>26) = 0.1587
Original post by need_math
p(X>28) = 0.0228

P(X>26) = 0.1587


Ok, now apply P(A|B)
(This one just requires a bit of common sense) :smile:

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