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varonadestiny1109
27.06.2020 •
Mathematics
The average home price in Massachusetts is $410,000, with a standard deviation of $65,000. A city planner is studying the distribution across the state of home prices in the bottom 10%. What price will indicate that a home is in the bottom 10% if the city planner examines 200 homes around the state
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Ответ:
And replacing the value obtained we got:
And if we solve for a we got
Step-by-step explanation:
Let X the random variable that represent the average home prices of a population, and for this case we know the distribution for X is given by:
Where
and ![\sigma=65000](/tpl/images/0696/0878/0375e.png)
For this part we want to find a value a, such that we satisfy this condition:
We want to find a value who accumulate 0.10 of the area on the left and 0.90 of the area on the right of the normal standard distributon and for this case it's z=-1.282
And using the distribution for the sample mean we can do this:
And replacing the value obtained we got:
And if we solve for a we got
Ответ:
8 more black beads.
Step-by-step explanation:
B=1
W=3
B:W = 1: 3
Make
B:W = 3:1 = 9:3
So we need (9-1) = 8 more black beads.