1. Validate the probability distribution table where x = $ profit and P(x) is the probability of earning the profit then answer the questions in parts a-h. X 0 40 80 120 160 200 P(x) 12% 27% 32% ###% 8% 2% a. What is the probability of earning at least $80 in profit? b. What is the probability of earning $120 in profit? c. What is the probability of earning less than $160 in profit? d. What is the probability of earning $40 to $160 in profit? e. Find the expected profit. f. What is the variance of the profit earned? g. What is the standard deviation of the profit earned? h. Describe this shape. O M G OO