Question 7 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 Opal getting a hit when at bat is 0.35, then batting can be modeled by a toss of an unfair coin for which Heads is associated with Hitting and Tails with Missing. Thus, the probability of Opal getting 4 hits out of 7 batting attempts is exactly the same as the probability of getting 4 heads from tossing the coin 7 times and can be computed using the following formula P(kH/n) = Cp (1 − p)n-k with n = 7, k = 4, and p = 0.35: P(4H/7) = C-0.354-0.65³ 35 -0.015006-0.274625= 0.1442 = Find the probability of Opal getting 5 hits out of 8 batting attempts: (Round the answer to 4 decimal places.)

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