SOLUTION: A set of 250 values has a normal distribution with a mean of 50 and standard deviation of 5. Round answers to the tenths place. What percent of the data is between 40 and 60?

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Question 1036292: A set of 250 values has a normal distribution with a mean of 50 and standard deviation of 5. Round answers to the tenths place.
What percent of the data is between 40 and 60?
Find the probability that a value selected at random from this data is between 47.5 and 52.5.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The first part is the probability something is between -2z and 2z, and that is 95.45%.
The second part is the probability it is between a z of -0.5 and 0.5, and that is 38.29%.
z=(value-mean)/sd