(Answered) Normal distribution with a mean

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Question: Suppose the IQ scores of a certain population of women follow a normal distribution with a mean of 100 and a standard deviation of 15. Suppose a person is selected atrandom from this population, and her IQ is shown to be at least 115. Given this information,what is the probability her IQ is less than 130? (Hint: use the 68-95-99.7 rule and theformulas for conditional probability.) Please show step by step details and formulas.

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