QUESTION

# 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:
•  labeled
• meansaxes
• X X
• ZZ
• AAA
• A detailed explanation of how the change in the standard deviation does or does not affect each of the following:
• center