(3) Solve the following problems. (a) [2pts] In a city, the average annual income of adults is $100, 000. This figure includes those who don't have an income. Meanwhile, the average annual income of adults who do have an income is considerably higher: $200, 000. Note that there is no negative income. (i) Pick an adult at random in this city. What can you say about the chance that the selected person's income is at least a million dollars? (ii) Pick an adult at random from those in this city who actually have an income. What can you say about the chance that the selected person's income is at least a million dollars?(b) [3pts] The delivery time for the food delivery service in some restaurant (measured in minutes) is a random variable X (minutes) such that E[X'] = 20 and E[X3] = 625. (i) What is the upper bound you can get on P(X 2 1 hour) with Markov's inequality? (ii) What is the upper bound you can get on P(X 2 1 hour) with Chebyshev's in- equality? (iii) Between (i) and (ii), which inequality gives you the better bound