A surprise quiz contains three multiple choice question: question 1 has three suggested answers, question 2 has four, and question 3 has two. A completely unprepared student decides to choose the answers at random. Construct the probability distribution chart, draw the probability histogram, and tell whether the distribution is symmetrical or skewed.

Solution:

The number of correct answer: x

P(x=0) = 6/24

P(x=1) = 13/24

P(x=2) = 5/24

P(x=3) = 1/24

The distribution is  skewed