One characteristic measured about high schools is the percent free lunch, which is the percentage of the student body that is eligible for free and reduced-price lunches. The top 100 schools, grouped according to their percent free lunch, is as follows.
|
Percent free lunch (x) |
Number of top
100 ranked high schools |
|
|
|
46 |
|
|
|
20 |
|
|
|
12 |
|
|
|
10 |
|
|
|
12 |
If stratified random sampling with proportional allocation is used to select a sample of 25 high schools, how many would be selected from the stratum with a percent-free-lunch value of 20 ≤ x< 30?(Round up to the nearest integer.)
Homework Answers
No of schools with percent free lunch value 20<= x <=30 is 12 in top 100 schools.
If a stratified random sample with proportional allocation is taken for a sample size of 25, then the number of schools to be chosen = 12 x 25/100 = 3
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for all sufficiently large n and some
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for
all sufficiently large n, then
diverges.
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distribution of wealth. Let a random variable X have a Pareto
distribution with parameter θ so that its probability distribution
function is
for
and 0 otherwise. The parameters and
are
known and fixed; is a constant to
be determined.
a) Assuming that
find the expected value and variance of ?
b) Show that for 3 ≥ θ > 2 the Pareto distribution has a
finite mean but infinite variance,...
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