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Use the following information to answer questions 1-3. Hens usually begin laying eggs when they are about a months old. Young hens tend to lay

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Use the following information to answer questions 1-3. Hens usually begin laying eggs when they are about a months old. Young hens tend to lay smaller eggs, often weighing less than the desired minimum weight of 52 grams. The average weight of the eggs produced by the young hens is 50.4 grams, and only 25 96 of their eggs exceed the desired minimum weight. If a Normal model is appropriate, what would the standard deviation of the egg weights be in grams? Answer to two decimal places. By the time these hens have reached the age of one vear, the eggs they produce average 66.5 grams, and 94% of them are above the minimum weight of 52 grams. What is the standard deviation for these older hens in grams? Answer to two decimal places. A certain tennis player makes a successful first serve 60 % of the time (assume that this does not change over the duration of the game). Suppose the tennis player serves 100 times in a match.What is the probability that she will make fewer than 55 successful first serves? Answer to four decimal places.What is the probability that she will make at least 70 successful first serves? Answer to four decimal places

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