MATH 2565 Lecture Notes - Cider Apple, Bernoulli Trial, Randomness
10 Jan 2013
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Let the number of successful serves in n = 6 first serves. The first serves can be considered bernoulli trials. There are only two possible outcomes, successful and unsuccessful. The probability of any first serve being good is given as p = 0. 70. Finally, we are assuming that each serve is independent of the others. Let the number of successful serves in n = 80 first serves. first serves in. 51. 9 and 60. 1 first serves approximately 68% of the time, between 47. 8 and 64. 2 first serves approximately 95% of the time, and between. 43. 7 and 68. 3 first serves approximately 99. 7% of the time: using binom(80, 0. 70): may be. According to the binomial model, the probability that she makes at least 65 first serves out of 80 is approximately 0. 0161. According to the normal model, the probability that she makes at least 65 first serves out of 80 is approximately.
