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Assume IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 points. You must show your work and use

Assume IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 points. You must show your work and use the methods taught in class.

    1. If you select a person at random what is the probability they will have an IQ score greater than 112?
    2. If you select a person at random what is the probability they will have an IQ score is between 70 and 110?
    3. If 169 people are randomly chosen, what is the probability that the mean of their IQ scores is greater than 105?
    4. Find the IQ score separating the lowest 98% of scores from the highest 2%.

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