. You flip a penny 3 times and a dime 2 times. Let Hp be the number of times the penny lands on heads, Hd the number of times the dime lands on heads, and H the total number of heads on the two coins combined. Finally, let the random variable M be the number of times the penny lands on heads multiplied by the number of times the dime lands on heads. In other words: H = Hp + Hd M = Hp × Hd (a) Find the probability distribution of H and the probability distribution of M (b) Find the cumulative probability distributions of H and M (c) Are H and M independent? Justify your answer mathematically. (d) Find E[H2 ] and E[M2 ] (e) Find V ar(H) and V ar(M)

your answer is 23/2 - 13.5

step-by-step explanation:

7/2 evaluates to

multiply x and 4.5

multiply x and 1

the x just gets copied along.

the answer is x

x

4.5*x evaluates to 4.5x

multiply 3 and 4.5x

multiply 1 and x

the x just gets copied along.

x

4.5*x*3 evaluates to 13.5x

7/2-4.5*x*3 evaluates to

  + 8 =

the answer is

7/2-4.5*x*3+8 evaluates to

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )