Hello, I am in difficulty when I kept trying to do these questions.

Could you give me a help to solve these questions?

Thank you so much.

Q1

(a),(b)

1. [2 marks] A coffee kiosk on a. urwrsity campus is reviewing their sales reports. Ham this they have gathered information on the percentage of which drinks customers order (coffee, tea, hot chocolate), and also which size of drinks customers order (small, medium, large). Size small medium large coffee 0.09 0. 32 0. 24 Drink tea. 0.01 0.05 0.07 hot chocolate 0.03 '0. 13 0.05 (a) Using this data. suppose that a random customer has ordered a large drink. What is the probability that they ordered a coffee? (b) Using this data, are the events r"customer orders a. medium drink\" and \"customer orders a tea" independent? Explain your answer with a. calculation. 2. [2 marks] A group of instructors are currently testing an online system where they will scan paper copies of exams into a website where they can then grade the papers. To do this, the system has to recognize a student's handwriting on the front page of the test in order to determine their student number and match the paper to their profile in the online system. The company who maintains the online system has declared that 93% of the time the system can correctly identify and match the handwritten student number to the student profile in the system. The instructors perform a small test run with three student volunteers. Assuming the company's claim that 93% of papers can be correctly identified and matched to profiles, and that errors in identifying and matching papers to profiles occur independently from paper to paper, what is the probability that at least two of the three students have their papers correctly identified and matched to their profile?3. [2 marks] For a particular scientic journal, referee reports on research article; being submitted for consideration can be short (<_: page medium to pages or long in length1 and can be submitted either word pdf. data on reports from the last year suggest that of are short length. for whereas word. suppose journal receives a new research article consideration. what is probability referee report pdf if an author has they receive>