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Please show formula and explain!

1. If a distribution has a mean of 35 and a standard deviation of 5, what value would be +1.5 standard deviations from the mean?

2. If a distribution has a mean of 35 and a standard deviation of 5, what value would be -2.5 standard deviations from the mean?

3. The Dow Jones Industrial Average is found to be normally distributed with a mean of 18000 and a standard deviation of 200. The DJIA is currently trading at 18200. What is the probability that it will trade higher?

4. What two scores would divide a normal distribution such that 68.26% of the general population falls within them if the mean is 100 and the standard deviation is 15?

5. If a normal distribution of scores has a mean of 100 and a standard deviation of 10, what percentage of scores would lie above 120?

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