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2. The mean of a normally distributed population is 30 and the standard deviation is 10. If the percentage of less than a value of

2. The mean of a normally distributed population is 30 and the standard deviation is 10. If the percentage of less than a value of X is 12.71%, what is the value of X? What percentage of the population that is more than 32?

3. A restaurant is interested in assuring that all lobster tails they receive have approximately the same weight. The population of the weight of lobster tails is normally distributed. The mean weight of lobster tails is 250 grams and the probability of getting a lobster tail that weighs less than 200 grams is 0.16, what must the standard deviation be for this population of lobster tails?

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