Question

Find the mean and standard deviation for each uniform continuous model. (Round "Mean" answers to 1 decimal place and "Standard deviation" answers to 4 decimal places.)

A. U(3,12)  

B. U(100,190)

C. U(4,92)

Answer 1

Solution :

Given that,

A) a = 3

b = 12

mean = (a + b) / 2

mean = (3 + 12) / 2

mean = 7.5

standard deviation =  (b - a) / 12

standard deviation =  (12 - 3) / 12

standard deviation = 2.5981

B) a = 100

b = 190

mean = (a + b) / 2

mean = (100 + 190) / 2

mean = 145

standard deviation =  (b - a) / 12

standard deviation =  (190 - 100) / 12

standard deviation = 25.9808

C) a = 4

b = 92

mean = (a + b) / 2

mean = (4 + 92) / 2

mean = 48

standard deviation =  (b - a) / 12

standard deviation =  (92 - 4) / 12

standard deviation = 25.4034