Let X and Y have joint PDF fX, Y= (x, y)=cxy, for 0 < x < y < 1

Requried:
a. Check that this is a valid joint PDF.
b. Are X and Y independent?
c. Find the marginal PDFs of X and Y.
d. Find the conditional PDF of Y given X=x.

Fred has a spinner that is split into four equal sections: red, blue, green, and yellow. fred spun the spinner 688 times. which of the following would be a good estimate of the number of times the spinner lands on the green section? a. 269 b. 603 c. 344 d. 189

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

Scores on a university exam are normally distributed with a mean of 78 and a standard deviation of 8. the professor teaching the class declares that a score of 70 or higher is required for a grade of at least “c.” using the 68-95-99.7 rule, what percentage of students failed to earn a grade of at least “c”?