SOLUTION: A random variable X follows the uniform distribution with a lower limit of 520 and an upper limit of 620. a. Calculate the mean and the standard deviation for the distribution.

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Question 1162762: A random variable X follows the uniform distribution with a lower limit of 520 and an upper limit of 620.
a. Calculate the mean and the standard deviation for the distribution. (Round intermediate calculation for standard deviation to 4 decimal places and final answer to 2 decimal places.)


b. What is the probability that X is less than 570? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The mean is 570, the midpoint.
sd is (b-a)/sqrt (12)
=100/sqrt(12)
=100*2*sqrt(3)/12
=16 2/3 sqrt (3)=28.87
The probabilityX<570 is 0.5