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2.Assume that the IQ score of a certain population is a normally distributed random variable, with a mean of 100 and a standard deviation of

2.Assume that the IQ score of a certain population is a normally distributed random variable, with a mean of 100 and a standard deviation of 10.

a. If an individual is randomly selected from the population, find the probability that this individual will have an IQ score greater than 112. (3 marks)

b. If an individual is randomly selected from the population, find the probability that this individual will have an IQ score between 80 and 112. (3 marks)

c. Find the probability that the mean IQ score of the 16 individuals from this population will be greater than 105. (4 marks)

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