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35. The selling prices for homes in a certain community are approximately normally distributed with a mean of $321,000 and a standard deviation of $38,000. Estimate the percentage of homes in this community with selling prices(a) between $283,000 and $359,000. %(b) above $359,000. %(c) below $207,000. %(d) between $207,000 and $359,000. %

35 The selling prices for homes in a certain community are approximately normally distributed with a mean of 321000 and a standard deviation of 38000 Estimate t class=

Respuesta :

Given:

[tex]\operatorname{mean}\text{ (}\mu)=\text{ \$321000 ; }\sigma=\text{ \$38000}[/tex]

a)Between $283000 and $359000

[tex]P(283000b)above $359000[tex]P(x>359000)=P(z>0)[/tex][tex]P(x>359000)=0.5[/tex][tex]P(x>359000)=50\text{ \%}[/tex]

c)below $207000

[tex]P(x<207000)=P(z<-3)[/tex][tex]P(x<207000)=0.00135[/tex][tex]P(x<207000)=0.14\text{ \%}[/tex]

d) between $207000 and $359000

[tex]P(207000

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