Exercise 3. A warehouse stores a large quantity of network cables: toll of these cables have diameter Hmm, 20% have diameter com and 20% have diameter 4mm. A sample of 10 cables is picked at random (because of the large number of cables stored, you can aware that the disarbanion of cable diameters (60-20-20) remains constant the sample is picked). Answer the following What to the probability that the sample contains $ cables with directer 4mm by What is the probability that the sample contains 2 cables of more with durmeter 4mm'Exercise 4. A player tosses 3 fair coins, The player wins (6 if 3 heads occur, $450 if two beads occur, and [1 50 if only I head occurs. For the garne to yield an expected profit to the player of $2.50, how much should the player love if no hoods occur?Exercise 5. Edmund Blackadder is blindfolded and shoots four arrows at a target. You can assume that each time he shoots there is a probability of 0.] in hit the weget and that shots are independent of each other, ") What is the variance in the number of missed shots? Give the unit of measurement bj Every time he hits the target. Blackadder receives 2 gold coins, while every time be misses he needs to pary I gold coin Compute the probability that after the four shots Blackadder will have profit of more than gold coins