uiz 4 MAT125 Name *"Round all answers to three decimal places unless stated otherwise."** 1) Let X represent the number of people in a household in the United States In 2020. 1 2 3 5 6 7 or more P(X) 0.28 0.35 0.15 0.13 0.06 0.02 0.01 a) Find P(4) b) Find P(More than 4) c) Find the probability that a randomly picked household contains S people. d) Find the probability that a randomly picked household has less than 3 people. e) Compute the mean ux. f) Compute the standard deviation ox. 2) An investor is considering a $25,000 investment in a start-up company. She estimates that she has a probability of 0.35 of a $60,000 loss, probability of 0.35 of a $40,000 profit, probability of 0.15 of a $15,000 profit, and probability 0.15 of breaking even (a profit of $0). a) Create a discrete probability distribution