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Assignment: Complementary Events Investigation

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Mrs. Hudson plans to give a 10 question multiple choice exam in which each question has 4 options. Each question counts for 1 point.  A score of 8 or more is a passing score while 7 or less is a failing score.

The probabilities of guessing a certain number of questions correctly are listed in the table below.

Number of Questions Correct

Probability for Guessing Correctly

0

0.05631351

1

0.18771172

2

0.28156757

3

0.25028229

4

0.14599800

5

0.05839920

6

0.01622200

7

0.00308990

8

0.00038624

9

0.00002861

10

0.00000095

I. Compute the probability of answering 8 or more questions correctly by calculating the probability with a direct sum and by using complements.

II. How do the two approaches compare?

If Tyler wants to pass his exam, should he study?

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