The theory component of a driving test consists of 10 multi-choice questions each with 4 options. The test sitter is unprepared and is guessing each answer at random.

a) [3marks] What distribution would model the situation described above. Give all relevant parameters.

b) [3 marks] To pass the test a mark of 9 out of 10 or better is required. What is the chance of the guesser passing the test. Give the formula you used to perform the calculation