Question 5 One of the reasons why the concept of an unfair coin is important in probability is that many real-life experiments can be modeled by a toss of an unfair coin. For example, if the probability of Carlton guessing the correct answer on a multiple-choice question is 0.33, then guessing the answer on a multiple-choice question can be modeled by a toss of an unfair coin for which Heads is associated with Correct and Tails with Incorrect. Thus, the probability of Carlton guessing correctly 3 answers on a multiple-choice test with 7 questions is exactly the same as the probability of getting 3 heads from tossing the coin 7 times and can be computed using the following formula P(kH/n) Chpk (1 - p)n-k with n = 7, k = 3, and p = 0.33: P(3H/7) = C -0.33³ -0.674 = 35 -0.035937 -0.201511- 0.2535 Find the probability of Carlton guessing correctly 5 answers on a multiple-choice test with 9 questions: (Round the answer to 4 decimal places.)

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