(a) Find the marginal probability density functions fX(x) and fY (y) of X and Y , respectively. (b) Are X and Y independent? (c) Find the conditional probability density functions fX|Y (x|y). For your limits (which you should not forget), give constant bounds on y, and then give the bounds on x as a function of y. (d) Find the conditional probability density functions fY |X(y|x). For your limits (which you should not forget), give constant bounds on x, and then give the bounds on y as a function of x.

right

step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: