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Sagot :
We have that the amount of people that makes between $39,000 and $57,000
[tex]X=28 People[/tex]
For normal distribution, P(X < A) = P(Z < (A - mean)/standard deviation)
Mean = $48,000
Standard deviation = $9000
P(Person will have salary less than
[tex]P(39,000 < X < 57,000) = P(X < 35,000)-P(Z < (57,000 )[/tex]
[tex]=P(Z < (57,000 - 48,000)/9,000) - P(Z < (35,000 - 48,000)/9,000)[/tex]
[tex]= P(Z < 1) - P(Z < -2)\\\=0.1587-0.0228[/tex]
[tex]= 0.1359[/tex]
People in sample of 500 that make salary between
$35,000 and $57,000
[tex]X= 27.18[/tex]
[tex]X=28 People[/tex]
For more information on this visit
https://brainly.com/question/17871636?referrer=searchResults
= 409 people
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