Here are another set of solutions for advanced, but this time by John Drake:
Attachments

6.1 MB Views: 116
It should be 5/18I think Q15 is wrong, not sure why its 1/5?
I looked at the 3 sets of solutions posted for discrepancies, and also looked at mine.
* Q15: I got 5/18 for 15a and 3/5 for 15b, which is different to two sets of solutions posted. I have verified 5/18 with 100,000 trials in a spreadsheet.
* Q28c I agree with John Drake's answer: 2ln23/2+pi/4
* Q32c should be $931.54 (also verified with a spreadsheet)
* For Q24, my answer is (emphasis on with reference to the context given).
 there is a positive correlation (r>0), meaning that as the age of characters increases, so does the age of the actors
 r=0.4564 means a moderate strength of the correlation. i.e. if the equation of the line of best fit was used for interpolation, it wouldn't be too reliable. For example, for a character of age 15, the equation suggests an actor age of 20. But the graph shows there is a lot of variation for 15 year old characters (14 to 27 years)
 gradient of 1.85 means that on average, for every extra year of character age, actor age increases by 1.85 years
 extrapolation would not be reliable given there is not data for <14 and >17 years for character age, and the study was for teenage characters only.
I don't think there is a point to be made based on skew.Is it wrong to say that there is a positive skew in the data whereby there's a larger concentration of actors aged 1415?