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Chapter 5: Q 5.127 (page 229)
What concept does the mean of a discrete random variable generalize?
A weighted average of all possible values of a discrete random variable is the mean of the random variable.
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In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Housing Units. The U.S. Census Bureau publishes data on housing units in American Housing Survey for the United States. The following table provides a frequency distribution for the number of rooms in U.S. housing units. The frequencies are in thousands.
A housing unit is selected at random. Find the probability that the housing unit obtained has
(a) four rooms.
(b) more than four rooms.
(c) one or two rooms.
(d) fewer than one room.
(e) one or more rooms.
Horse Racing.Refer to the image below and for each of the following events, list the outcomes that constitute the events and describe the event in words.
If you sum the probabilities of the possible values of a discrete random variable, the result always equals .
Oklahoma State Officials. Refer to Table 5.1 on page 196.
(a). List the possible samples without replacement of size 3 that can be obtained from the population of five officials. (Hint: There are 10 possible samples.)
If a simple random sample without replacement of three officials is taken from the five officials, determine the probability that
(b). the governor, attorney general, and treasurer are obtained.
(c). the governor and treasurer are included in the sample.
(d). the governor is included in the sample.
In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Graduate Science Students. According to Survey of Graduate Science Engineering Students and Postdoctorates, published by the U.S. National Science Foundation, the distribution of graduate science students in doctorate-granting institutions is as follows.
Frequencies are in thousands. Note: Earth sciences include atmospheric and ocean sciences as well.
A graduate science student who is attending a doctorate-granting institution is selected at random. Determine the probability that the field of the student obtained is
(a) psychology.
(b) physical or social science.
(c) not computer science.
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