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Probability density function

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

d. f(x;theta)=2c(1+2thetax-3thetax^2), 0

e. f(x)=ce^-(x/theta), theta>0

f. f(x) = c/(1+x^2), -infinity

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A completely randomized experiment with two temperatures (factor A), two lengths of washing time (factor B), and five replications per treatment gave the following results: