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S1 Normal Distribution Help

This is Paper C q5 (b) on the Soloman Statistics 1 papers.

Find -> T~N(25, 42)

(b) P( |T-25| < 5)


I've never come across the "|" symbol in normal statistics Edexcel Papers. Normally I would just standardize and find the z value but this has gotten me stumped.

Any help please?
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Dalilsp
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Asklepios
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Original post by Dalilsp
This is Paper C q5 (b) on the Soloman Statistics 1 papers.

Find -> T~N(25, 42)

(b) P( |T-25| < 5)


I've never come across the "|" symbol in normal statistics Edexcel Papers. Normally I would just standardize and find the z value but this has gotten me stumped.

Any help please?


Thats just saying P(-5<T-25<5)

And E(T-25) = E(T) - 25 = 0
Var(T-25) = Var(T) = 42



Hence, T-25~N(0, 42)


Then just do your Z transformations and work it out from there.
(edited 11 years ago)
Original post by Dalilsp
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Original post by Asklepios
Thats just saying P(-5<T-25<5)

And E(T-25) = E(T) - 25 = 0
Var(T-25) = Var(T) = 42



Hence, T-25~N(0, 42)


Then just do your Z transformations and work it out from there.


They wouldn't even ask a question like that for edexcel, stick to edexcel for s1.
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Dalilsp
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Yeah I probably will. My bro said that was modulus which is FP1 in FM. Will do that in the summer. Thanks!

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