Question

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. %

Answer 1

Given:

a)Between $283000 and $359000

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

c)below $207000

`P(x<207000)=P(z<-3)`
`P(x<207000)=0.00135`
`P(x<207000)=0.14\text{ \%}`

d) between $207000 and $359000

[tex]P(207000