Find expected value based on calculated probabilities.

Problem

Marvin the monkey is taking a multiple choice test as part of an experiment. There are 4 questions on the test and each question has 2 different answer choices. Since Marvin is a monkey, he will be guessing on each question.
The test is graded according to the grading scheme below.
What is the expected number of points Marvin will score?
Round your answer to the nearest hundredth.
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
points
Correct answers01234
Points035710
Get 3 answers correct in a row