Arandom variable x follows the uniform distribution with a lower limit of 550 and an upper limit of 600.

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 560? (round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)