# Question: In a continuous uniform distribution minimum maximum

In a continuous uniform distribution,

μ = minimum + maximum / 2 and σ = range / √12

a. Find the mean and standard deviation for the distribution of the subway waiting times represented in Figure.

b. For a continuous uniform distribution with m = 0 and s = 1, the minimum is -23 and the maximum is 23. For this continuous uniform distribution, find the probability of randomly selecting a value between – 1 and 1, and compare it to the value that would be obtained by incorrectly treating the distribution as a standard normal distribution. Does the distribution affect the results very much?

μ = minimum + maximum / 2 and σ = range / √12

a. Find the mean and standard deviation for the distribution of the subway waiting times represented in Figure.

b. For a continuous uniform distribution with m = 0 and s = 1, the minimum is -23 and the maximum is 23. For this continuous uniform distribution, find the probability of randomly selecting a value between – 1 and 1, and compare it to the value that would be obtained by incorrectly treating the distribution as a standard normal distribution. Does the distribution affect the results very much?

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