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 …show more content…
C) The graph cannot represent a normal density function because the area under the graph is greater than 1.
D) The graph can represent a normal density function.
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7)
A) The graph can represent a normal density function.
B) The graph cannot represent a normal density function because it has no inflection points.
C) The graph cannot represent a normal density function because as x increases without bound, the graph takes negative values.
D) The graph cannot represent a normal density function because the area under the graph is greater than 1.
8)
A) The graph cannot represent a normal density function because the graph takes negative values for some values of x.
B) The graph cannot represent a normal density function because the area under the graph is less than 1.
C) The graph cannot represent a normal density function because it is not symmetric.
D) The graph can represent a normal density function.
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9)
A) The graph cannot represent a normal density function because it does not approach the horizontal axis as x increases or decreases without bound.
B) The graph cannot represent a normal density function because it is not bell shaped.
C) The graph can represent a normal density function.
D) The graph cannot represent a normal density function because it has no inflection points.
10)
A) The graph can represent a normal density function.
B) The graph cannot represent a normal density function because it