Question

A multiple-choice test has 20 questions. Each question has 4 possible answers, of which only one is correct. (i) If you randomly answered each question, what is the name of the distribution for the number of possible marks you could achieve for the whole test? Explain your reasons and give the values for the parameters of that distribution.* (ii) If the pass mark for the test is 60% (i.e. 12 marks or more), what is the probability that you will pass the test if you answer randomly? You should use Excel to answer this question. You must either show some working or explain your answer.

Answer 1

Ansuey 4vom the giver data O,25 ђ Heve to e use bibormal distribution' coitb ng

p (x 12) , 2%, ( 0.25)12 (075 8 o. oo07 51688 p(x= 16)2 20 cm(0.25)"(075), 2'799 u 2x108