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Assume that the IQ score of a certain population is a normally distributed random variable, with a mean of 118 and a standard deviation of

Assume that the IQ score of a certain population is a normally distributed random variable, with a mean of 118 and a standard deviation of 12.

a.If an individual is randomly selected from the population, find the probability that this individual will have an IQ score greater than 115. (3 marks)

b.If an individual is randomly selected from the population, find the probability that this individual will have an IQ score between 100 and 122. (3 marks)

c.Find the probability that the mean IQ score of the 16 individuals from this population will be greater than 116. (4 marks)

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