Suppose a uniform random variable can be used to describe the outcome of an experiment with
outcomes ranging from 30 to 80. What is the mean outcome of this experiment?
A) 55 B) 80 C) 60 D) 30
Q. 2A machine is set to pump cleanser into a process at the rate of 6 gallons per minute. Upon
inspection, it is learned that the machine actually pumps cleanser at a rate described by the
uniform distribution over the interval 5.5 to 9.
5 gallons per minute. Find the variance of the
distribution.
A) 1.33 B) 3.00 C) 0.75 D) 18.75
Q. 3Suppose x is a uniform random variable with c = 20 and d = 90. Find the standard deviation of x.
A) = 2.42 B) = 31.75 C) = 3.03 D) = 20.21
Q. 4The diameters of ball bearings produced in a manufacturing process can be described using a
uniform distribution over the interval 2.5 to 4.5 millimeters. What is the mean diameter of ball
bearings produced in this manufacturing process?
A) 4.0 millimeters B) 3.5 millimeters
C) 3.0 millimeters D) 4.5 millimeters
Q. 5After a particular heavy snowstorm, the depth of snow reported in a mountain village followed
a uniform distribution over the interval from 15 to 22 inches of snow.
Find the probability that a
randomly selected location in this village had between 17 and 18 inches of snow. Round to the
nearest ten-thousandth.
A) 0.1429 B) 0.2857 C) 0.5714 D) 0.4286
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