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# Please review the Using the Equation Editor in Canvas page that is located before this discussion assignment in this module for instructionson how to...

**Please review the ****Using the Equation Editor in Canvas**** page that is located before this discussion assignment in this module for instructions on how to insert images into your discussion postings. **

**Normal Probability**

**Your Discussion Posting: **If **X ~ N (750, 12)**, we can determine the **P(x > 784)** as follows:

μ = 750

σ = 12

x = 784

Z = x − μ σ

Z = 784 −750 12

Z =2.8333...

Z = 2.83

** P ( X > 784 ) = 1 − 0.9977**

P ( X > 784 ) = 0.0023

So, the probability of an observation greater than 784 with a **standard deviation of 12** is **0.0023**.

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Determine the **P (x > 784)** for each of the following two scenarios:

**X ~ N (750, 24)****doubling**

** X ~ N (750, 6)****halving **

**For each scenario****(1) **** (2)****X ~ N (750, 12)**

**The Show-Your-Work process****P(x > 784)****given value(s)****appropriate symbol(s)****with symbols only****with numbers plugged in****Unrounded****Rounded****A normal curve with the following:****area of interest shaded****labeled****means****axes****X****X****Z****Z****A****A****A****A detailed explanation of how the change in the standard deviation does or does not affect each of the following:****center****spread****shape****P(x > 784)**

I got the first part but having trouble with X~N(750,6)