uestion #1 / 20
Which of the following variables are best thought of as continuous, which discrete?
Indicate your choice for each by checking the appropriate column.
Variable
(a) The cranial capacity (space inside the skull) of
a human skull
Discrete
Continuous
(b) The body weight of a preschool child
(c) The number of children in a household
(d) The length of the arm of a heavyweight boxer
Question #2 / 20
The stemandleaf display below gives the test scores for the
students in Prof.
Yang’s management class. Use the display to answer the following questions.
Test scores
Key:
means a score of
.
(a)
What was the lowest score
overall?
(b)
What was the highest score in
the 80s?
(c)
How many students scored in
the 90s?
Question #4 / 20
The citizens of a certain community were asked to choose their favorite pet. The pie
chart below shows the distribution of the citizens’ answers. If there are
in the community, how many chose Fish or Dogs?
citizens
Hamsters
6%
Snakes
10%
Cats
24%
Birds
21%
Dogs
25%
Fish
14%
Question #6 / 20
Adults who are being tested for dementia are asked to perform mental tasks such as
listing as many animals as they can in one minute. Here are the numbers of animals
listed in one minute by normal (nondemented) adults:
19, 11, 15, 12, 18, 25, 13, 22
(a) What is the median of this data set? If your answer is not an integer, round your answer to at least
one decimal place.
(b) What is the mean of this data set? If your answer is not an integer, round your answer to at least
one decimal place.
(c) How many modes does the data set have, and what are their values? Indicate the number of modes
by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.
zero modes
one mode:
two modes:
,
Question #15/ 20
Of the people who fished at Clearwater Park today,
had a fishing license, and did
not. Of the people who fished at Mountain View Park today,
not. (No one fished at both parks.)
had a license, and did
Suppose that one fisher from each park is chosen at random. What is the probability
that the fisher chosen from Clearwater did not have a license and the fisher chosen
from Mountain View had a license?
Do not round your answer.
Question #16 / 20
Ed’s Tires and Brakes has two locations, one on the northwest side of town and one on
the southeast side of town. At both locations are performed routine tire repairs and
rotations, as well as expensive brake repairs. This past week,
of the cars serviced
at Ed’s were serviced at the northwest location, while
of the cars were serviced at
the southeast location. (No car was serviced at both locations.) Brake repairs were
more typical at the northwest location than at the southeast location:
of the cars at
the northwest location required brake repairs, while
location required brake repairs.
Let
of the cars at the southeast
denote the event that a randomly chosen car (taken to Ed’s in the past week) was
serviced at the northwest location and
denote the event that a randomly chosen car
was serviced at the southeast location. Let denote the event that a randomly chosen
car required brake repairs and denote the event that a randomly chosen car did not
require brake repairs.
Fill in the probabilities to complete the tree diagram below, and then answer the
question that follows. Do not round any of your responses.
=P B N
0.5
=P ∩N B
=P N
0.6
=P ∩N B
=P B N
=P B N
=P ∩N B
=P N
=P ∩N B
=P B N
0.65
What is the probability that a randomly chosen car did not
require brake repairs?
Question #17 / 20
An employer interviews people for computer programming positions in a company,
and of the people are men. If all are qualified, in how many ways can the
employer fill the computer programming positions if exactly are men?
Question #19 / 20
A survey of a sample of
people is conducted. The survey’s respondents are
classified according to their political affiliation and their opinion on a bill. The results are
given in the contingency table below.
Opinion on the bill
In favor of Opposed to Indifferent to
Democrat
50
41
22
Political affiliation Republican
46
24
31
Independent
49
18
22
What is the relative frequency of respondents who are in favor of the bill?
Round your answer to at least two decimal places.
Question #20 / 20
A department store is holding a drawing to give free shopping sprees to two lucky
customers. There are
customers who have entered the drawing: live in the town of
Gaston, live in Pike, and live in Wells. In the drawing, the first customer will be
selected at random, and then the second customer will be selected at random from the
remaining customers. What is the probability that both customers selected are Gaston
residents?
Report your answer as an exact fraction.
