A standardized test consists of 100 multiple-choice questions.Each question has five possible answers, only one of which iscorrect. Four points are awarded for each correct answer. Todiscourage guessing, one point is taken away for every answer thatis not correct (this includes answers that are missing).
The company that creates the test has to understand how well astudent could do just by random guessing. Suppose a student answerseach question by picking one of the five choices at randomindependently of the choices on all other questions. Let S be thestudent's score on the test.
a) Find ?(S).
b) Find P(S>10). Write your answer as a mathexpression, then use the code cell below to find its numericalvalue and provide it along with your math expression.
