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.

Question 1162650: 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) (Show Source): You can put this solution on YOUR website!
mean is (a+b)/2=570, the midpoint.
variance is (1/12)(b-a)^2=1/12(10000)=833.33
sd is sqrt (V)=28.87
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