Find P(-2.61 < z < 2.99)Use the Normal table and give answer using 4 decimal places.

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04-11-2022
Mathematics

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Find P(-2.61 < z < 2.99)Use the Normal table and give answer using 4 decimal places.

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RaidenB750345 RaidenB750345 · Answer 1 · 2022-11-04T07:16:26-04:00

RaidenB750345 RaidenB750345

04-11-2022

To answer this question, we need to use the following property of probabilities:

[tex]P(aThen, in this case we have:[tex]P(-2.61Looking at the probabilities for the z-scores in the normal table we have:[tex]\begin{gathered} P(-2.61\lt z\lt2.99)= P(z\lt2.99)- P(z\lt-2.61) \\ =0.99861-0.00453 \\ =0.99408 \end{gathered}[/tex]

Therefore:

[tex]P(-2.61\lt z\lt2.99)=0.9941[/tex]

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