Chapter 7
Continuous Probability Distributions
True/False
1.
The Empirical Rule of probability can be applied to the uniform probability distribution.
Answer: False
2.
Areas within a continuous probability distribution represent probabilities.
Answer: True
3.
The total area within a continuous probability distribution is equal to 100.
Answer: False
4.
The total area within any continuous probability distribution is equal to 1.00
Answer: True
5.
For any continuous probability distribution, the probability, P(x), of any value of the
random variable,
X, can be computed.
Answer: False
6.
For any discrete probability distribution, the probability, P(x), of
any value of the random variable, X,
can be computed.
Answer: True
7.
The uniform probability distribution's standard deviation is proportional to the distribution's range.
Answer: True
8.
For any uniform probability distribution, the mean and standard deviation can be computed by
knowing the maximum and minimum values of the random variable.
Answer: True
9.
In a uniform probability distribution, P(x) is constant between the distribution's minimum and
maximum values.
Answer: True
10.
For a uniform probability distribution, the probability of any event is equal to 1/(b-a).
Answer: False

11.
The uniform probability distribution is symmetric about the mode.
Answer: False
12.
The uniform probability distribution's shape is a rectangle.
Answer: True
13.
The uniform probability distribution is symmetric about the mean and median.
Answer: True
14.
Asymptotic means that the normal curve gets closer and closer to the X-axis but never actually
touches it.
Answer: True
15.
A continuity correction factor compensates for estimating a discrete distribution with a continuous
distribution.
Answer: True
16.
The normal curve falls off smoothly in either direction from the central value.
Since it is asymptotic,
the curve gets closer and closer to the X-axis, but never actually touches it.
Answer: True
17.
When referring to the normal probability distribution, there is not just one; there is a "family" of
distributions.
Answer: True
18.
Some normal probability distributions have equal arithmetic means, but their standard deviations may
be different.
Answer: True
19.
Some normal probability distributions have different arithmetic means and different standard
deviations.
Answer: True
20.
Some normal probability distributions are positively skewed.
Answer: False
21.
For a normal probability distribution, about 95 percent of the area under normal curve is within plus
and minus two standard deviations of the mean and practically all (99.73 percent) of the area under the
normal curve is within three standard deviations of the mean.
Answer: True

22.
The area under the normal curve within plus and minus one standard deviation of the mean is about
68.26%.

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- Normal Distribution, Standard Deviation