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I do not know this one. Please give an answer with solution processing.

I do not know this one. Please give an answer with solution processing.-example-1
User UdaraWanasinghe
by
2.7k points

1 Answer

8 votes
8 votes

Answer:

$685.25

Explanation:

Problem 2

• Mean = $580

,

• Standard Deviation = $125

We want to find the amount of money, X that would guarantee that a person has more money than 80% of the residents.

First, find the z-value that corresponds to P(ZThe corresponding z-score associated to the given 80-th percentile is:

• Z = 0.842

Next, substitute the values into the z-score formula.


\begin{gathered} z=(X-\mu)/(\sigma) \\ 0.842=(X-580)/(125) \end{gathered}

We solve for X:


\begin{gathered} X-580=0.842*125 \\ X=580+0.842*125 \\ X=685.25 \end{gathered}

The amount of money is $685.25.

User Han Zhengzu
by
3.2k points
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