Sst4e Tif 07
Ch. 7 The Normal Probability Distribution
7.1 Properties of the Normal Distribution
1 Use the uniform probability distribution.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1) High temperatures in a certain city for the month of August follow a uniform distribution over the interval 64°F to 92°F. What is the probability that a randomly selected August day has a high temperature that exceeded
69°F?
A) 0.8214
B) 0.1786
C) 0.4423
D) 0.0357
2) High temperatures in a certain city for the month of August follow a uniform distribution over the interval 73°F to 103°F. Find the high temperature which 90% of the August days exceed.
A) 76°F
B) 100°F
C) 83°F
D) 103°F
3) The diameter of ball bearings produced in a manufacturing process can be explained using a uniform distribution over the interval 7.5 to 9.5 millimeters. What is the probability that a randomly selected ball bearing has a diameter greater than 8.6 millimeters?
A) 0.45
B) 0.9053
C) 4
D) 0.5059
4) Suppose x is a uniform random variable with c = 10 and d = 60. Find the probability that a randomly selected observation exceeds 30.
A) 0.6
B) 0.4
C) 0.1
D) 0.9
5) Suppose x is a uniform random variable with c = 30 and d = 80. Find the probability that a randomly selected observation is between 33 and 75.
A) 0.84
B) 0.16
C) 0.5
D) 0.8
6) A machine is set to pump cleanser into a process at the rate of 5 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 4.5 to 7.5 gallons per minute. Find the probability that between 5.0 gallons and 6.0 gallons are pumped during a randomly selected minute.
A) 0.33
B) 0.67
C) 0
D) 1
7) Suppose a uniform random variable can be used to describe the outcome of an experiment with the outcomes ranging from 30 to 70. What is the probability that this experiment results in an outcome less than
7.1 Properties of the Normal Distribution
1 Use the uniform probability distribution.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1) High temperatures in a certain city for the month of August follow a uniform distribution over the interval 64°F to 92°F. What is the probability that a randomly selected August day has a high temperature that exceeded
69°F?
A) 0.8214
B) 0.1786
C) 0.4423
D) 0.0357
2) High temperatures in a certain city for the month of August follow a uniform distribution over the interval 73°F to 103°F. Find the high temperature which 90% of the August days exceed.
A) 76°F
B) 100°F
C) 83°F
D) 103°F
3) The diameter of ball bearings produced in a manufacturing process can be explained using a uniform distribution over the interval 7.5 to 9.5 millimeters. What is the probability that a randomly selected ball bearing has a diameter greater than 8.6 millimeters?
A) 0.45
B) 0.9053
C) 4
D) 0.5059
4) Suppose x is a uniform random variable with c = 10 and d = 60. Find the probability that a randomly selected observation exceeds 30.
A) 0.6
B) 0.4
C) 0.1
D) 0.9
5) Suppose x is a uniform random variable with c = 30 and d = 80. Find the probability that a randomly selected observation is between 33 and 75.
A) 0.84
B) 0.16
C) 0.5
D) 0.8
6) A machine is set to pump cleanser into a process at the rate of 5 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 4.5 to 7.5 gallons per minute. Find the probability that between 5.0 gallons and 6.0 gallons are pumped during a randomly selected minute.
A) 0.33
B) 0.67
C) 0
D) 1
7) Suppose a uniform random variable can be used to describe the outcome of an experiment with the outcomes ranging from 30 to 70. What is the probability that this experiment results in an outcome less than