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# Statistics 2 quick question watch

1. How do you solve

The random vairable Z is distributed such that Z~N(0,1). Find this probablility:

P(lZl>2.4)?

It's a textbook question.

lZl is modulus Z

Thank you!

(I am finding it difficult to write out >Z> since -2,4>Z>2.4 just does not make sense)
2. Which area is it in S2?
3. you need to look for areas to the left of z = -2.4 and to the right of z = 2.4 and add them up.
4. (Original post by DanF2000)
Which area is it in S2?
Normal distribution
5. (Original post by Jellyxx)
How do you solve

The random vairable Z is distributed such that Z~N(0,1). Find this probablility:

P(lZl>2.4)?

It's a textbook question.

lZl is modulus Z

Thank you!

(I am finding it difficult to write out >Z> since -2,4>Z>2.4 just does not make sense)
P(|Z| > 2.4) = 1-P(|Z| < 2.4)

= 1- (2P(Z < 2.4) -1)

I think this is right but I'm not 100% sure so please correct me if I'm wrong

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6. (Original post by the bear)
you need to look for areas to the left of z = -2.4 and to the right of z = 2.4 and add them up.

YOU'RE RIGHT DD I AM MINDBLOWN by the realisation thanks!
7. (Original post by Jellyxx)
YOU'RE RIGHT DD I AM MINDBLOWN by the realisation thanks!
no worries champ

8. Just a quick notice: my teacher always tells me to draw the normal distribution graph. It might be tedious, but it lets you know what you need to be looking for.

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