1d: Atleast two resistors of resistance 16ohm

Exercise: Suppose you have a machine producing electrical resistors. The machine is constructed in such a way that after each run, it produces one resistor. The resistance for each resistor can be modelled by the following random variable: Resistance (ohm) Probability Part 1: The following problem will focus on simple probability rules (15 min) 1. Suppose there are three such machines independently running at once. After one run each, what is the probability that they produce: a. Three resistors of 4 ohm resistance? b. Three resistors of resistance at most and including 12 ohm? c. At least one resistor of resistance 16 ohm? d. At least two resistors of resistance 16 ohm?I Hint: Remember addition, independence and complementary rules. For (c), consider nding the probability of the complement of the given event. For part (d), count the number of ways that you can obtain at least two resistors of 16 ohm resistance, and then calculate the probability of each set of those events