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In the following functions, evaluate c so that f(x) will be the probability density function:
a. f(x) =c/(x^4), x>1
b. f(x;theta)= c(ln theta)theta^-1, x>0, theta>1
c. f(x;theta)= c/3(theta +1)x^theta, 0<x<1, theta>0
d. f(x;theta)=2c(1+2thetax-3thetax^2), 0<x<1
e. f(x)=ce^-(x/theta), theta>0
f. f(x) = c/(1+x^2), -infinity<x<+infinity
Determine the proportion of homes that have a pool. At the .05 significance level, can we conclude that less than 40 percent of the homes sold in the Denver area had a pool? What is the p-value?
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At the .01 significance level, can we conclude that there is more variation in the selling prices of the oceanfront homes?
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