The diameters of ball bearings produced in a manufacturing process can be described using a
uniform distribution over the interval 8.5 to 10.5 millimeters.
Any ball bearing with a diameter
of over 10.25 millimeters or under 8.75 millimeters is considered defective. What is the
probability that a randomly selected ball bearing is defective?
A) .25 B) 0 C) .50 D) .75
Q. 2The diameters of ball bearings produced in a manufacturing process can be described using a
uniform distribution over the interval 6.5 to 8.5 millimeters.
What is the probability that a
randomly selected ball bearing has a diameter greater than 7.4 millimeters?
A) 0.55 B) 0.8706 C) 0.4933 D) 3.5
Q. 3High temperatures in a certain city for the month of August follow a uniform distribution over
the interval 61F to 91F. Find the temperature which is exceeded by the high temperatures on
90 of the days in August.
A) 91F B) 71F C) 88F D) 64F
Q. 4High temperatures in a certain city for the month of August follow a uniform distribution over
the interval 61F to 86F. What is the probability that the high temperature on a day in August
exceeds 66F?
A) 0.8 B) 0.04 C) 0.449 D) 0.2
Q. 5Suppose x is a random variable best described by a uniform probability distribution with c = 5
and d = 11. Find the value of a that makes the following probability statement true: P(x a) = 1.
A) a 5 B) a 5 C) a 11 D) a 11
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