I would suggest you post your two different (underlined) questions in separate threads. Also, you will get a better response from members here if you

**tell us where you are stuck and show your attempts**.

With the first question:

You will need to create the probability distribution table for the recorded score (just like I suspect you did for (a)).

For example, to get a recorded max score of 5 the student may have got:

0 then 5..... P(0,5) =0.06 or

5 then 0 …..P(5,0) =0.04 or

5 then 5 ….P(5,5) = 0.15

So add these to get P(max score = 5)

Do the same for the other possible maximums to generate your prob dist table.

(Double check that your p's add to 1)

Then find the expected value in the usual way.