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Suppose the incidence of ketosis in Holstein dairy cows is 11.8% in the state of Michigan...

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Suppose the incidence of ketosis in Holstein dairy cows is 11.8%in the state of Michigan (Dyk and Emery, 1996; ProcTri-State Nutrition Conference). Assume the state ofketosis (1 = diseased, 0 = not-diseased) is independent between allanimals; i.e., the occurrence or non-occurence of ketosis on anyone animal is in no way related to whether ketosis occurs in anyother animal. Furthermore, suppose that there are a large number ofherds in the state for which the probability of ketosis (11.8%) wasthe same for each herd.

A)Within any one herd of size 60, what is theexact probability of having 4 orless cows being afflicted with ketosis.

B)Redo (a) but use a normal approximation todetermine this probability. Do this with and without the continuityadjustment. Are either of these results consistent with the exactprobability you provided in your answer to a)?

Answer & Explanation Solved by verified expert
4.0 Ratings (647 Votes)
aLet X is a random variable shows the number of cows beingafflicted with ketosis Here X has binomial distribution withfollowing    See Answer
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