One of the reasons why the concept of an unfair coin is important in probability is that many real-lifeexperiments can be modeled by a toss of an unfair coin. For example, if the probability of Donald scoring afree throw is 0.43, then scoring a free throw can be modeled by a toss of an unfair coin for which Heads isassociated with Scoring and Tails with Missing. Thus, the probability of Donald scoring 4 free throws out of 9attempts is exactly the same as the probability of getting 4 heads from tossing the coin 9 times and can becomputed using the following formulaP(kH/n)Chp(1-p)n-kwith n=9, k = 4, and p = 0.43:P(4H/9)=C2-0.434 -0.575 126 -0.034188 -0.060169 = 0.2592Find the probability of Donald scoring 4 free throws out of 8 attempts:(Round the answer to 4 decimal places.)

Answered: One of the reasons why the concept of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 Shanice saving a penalty kick is 0.28, then saving a penalty kick can be modeled by a toss of an unfair coin for which Heads is associated with Saving and Tails with Missing. Thus, the probability of Shanice saving 2 penalty kicks out of 6 attempts is exactly the same as the probability of getting 2 heads from tossing the coin 6 times and can be computed using the following formula P(kH/n) Chp(1 - p)n-k with n = 6, k = 2, and p = 0.28: P(2H/6)=C₂-0.28² -0.724=15-0.0784-0.268739 = 0.316 Find the probability of Shanice saving 3 penalty kicks out of 7 attempts: (Round the answer to 4 decimal places.)
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