The joint density function of the random variables X and Y is f(x, y) = 6x 0 < x < 1, 0 < y < 1 − x

a. Show that X and Y are not independent.

b. Find f(x|y) and use it to find P(X > 0.3|Y = 0.5)

Dee used 2 1/3 cups of sugar for a cake recipe. if the amount of sugar the container holds is 3 times the amount she used, does the container hold more than, less than, or equal to 3 cups of sugar? explain.

Twice the sum of a number and 4 is equal to three times the difference of the number and 7. find the number.

Frank has a devised a formula for his catering business that calculates the number of meatballs he needs to prepare. the formula is m=4a+2c, where c=number of children; m=number of meatballs; a=number of adults. how many meatballs are required for a party of 10 adults and 5 children?