Note: round your answers to 2 decimal places. For [a] and (c), write down your answer as a percentage, and ignore the % sign. a] At UNSW, 25% of students major in Economics. Amongst Economics majors, 60% are men. Amongst all students, 30% are men. What percentage of men at UNSW maJor in Economics? [3 marks] Erin D b) A restaurant has a daily sandwich special. The customer must choose one bread type out of wheat, multigmin, white and flatbread. The customer must also choose one lling type out of ham, chicken, beef, salmon and veggie. Finally, the customer must choose 4 different salad types out of lettuce, tomato, cucumber, capsicum, spinach, carrot, and onion. How many different sandwich specials are possible? [3 a 2-, Hz c) UNSW students choose from two lunch options every day: sushi or salad. If a student eats sushi one day, there is a 30% chance that the student will eat salad the next day. Similarly, if a student eats salad one day, there is 30% chance that the student will eat sushi the next day. If the probability of Phuc eating sushi two days from now is 45%, what is the probability that Phuc eats salad today? [3 marks] Erin H What is the steady-state probability ot eating sushi? [3 marks] \"/5 U d) Evaluate the following definite integral [3 marks] I x-l j; , 11: (12233)? D e) Phuc runs a convenience store near UNSW. One of the most popular products is the "Wipe your tears" facial tissues. The product was sold out two weeks ago, in anticipation of a difficult final exam in ECON1202. Phuc sold 150 boxes last year, at a price of $60 per box. Phuc estimated that the price elasticity of the annual demand for the \"Wipe your tears" tissue is given by: 'P zsop a: where p is the price per box and p