Here is 10 questions about Mathematics and Statistics. Please solve them with solution details. Thank you.

QUESTION 1 You are interested in the relationship between hours worked in paid employment and salary earned amongst rst year students at XXXX University Business School. Explain how you would use a sample to collect the information you need. Highlighting any potential problems that you might encounter while collecting the data. 10 MARKS QUESTION 2 Using the data, you collected above you wish to run a regression with hours worked in paid employment as the independent variable and salary earned as the dependent variable. Explain any problems you might face and what sign you would expect the coefcients of this regression to have. 10 MARKS QUESTION 3 I 3x284x3+5dx Show all of your steps with explanations of what you are doing. 10 MARKS QUESTION 4 r~B(60, 0.35) Calculate the probability that r