MGBA - 520 Quiz 4
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School
Northern Arizona University *
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Course
520
Subject
Statistics
Date
Feb 20, 2024
Type
docx
Pages
4
Uploaded by megcurt10
Question 1
2
/ 2
pts
An experiment has three steps, with three outcomes possible for the first step, two outcomes possible for the second step, and four outcomes possible
for the third step. How many experimental outcomes exist for the entire experiment?
Number of experimental outcomes = (3)(2) = 6
Number of experimental outcomes = (2)(3)(2)(2)(3)(4) = 288
Correct!
Number of experimental outcomes = (3)(2)(4) = 24
Number of experimental outcomes = (3)(3)(3) = 27
Question 2
2
/ 2
pts
The relative frequency method
of assigning probabilities is appropriate when
all the experimental outcomes are equally likely. If
n
experimental outcomes are possible, a probability of 1/
n
is assigned to each experimental outcome.
True
Correct!
False
Question 3
2
/ 2
pts
A probability distribution involving two random variables is called a bivariate probability distribution.
Correct!
True
False
Question 4
0
/ 2
pts
The most commonly used probability distribution for describing a continuous random variable is the normal probability distribution.
True
You Answered
False
Question 5
2
/ 2
pts
A random variable that has a normal distribution with a mean of zero and a standard deviation of one is said to have a standard normal probability distribution.
Correct!
True
False
Question 6
Not yet graded
/ 4 pts
Suppose that we have two events,
A
and
B
, with
P
(
A
) = .50,
P
(
B
) = .60, and
P
(
A
∩
B
) = .40.
1. Find
P
(
A
|
B
).
2. Find
P
(
B
|
A
).
3. Are
A
and
B
independent? Why or why not?
Your Answer:
(P(A|B) = 0.3333)
(P(B|A) = 0.40)
A and B are
not independent
because their conditional probabilities differ from their individual probabilities.
Question 7
4
/ 4
pts
Impact of Global Warming.
Do you think global warming will have an impact on you during your lifetime? A 2014 CBS News/
New York Times
poll of
1000 adults in the United States asked this question (CBS News website). Consider the responses by age groups shown below.
Response
Age
18–29
30+
Yes
134
293
No
131
432
Unsure
2
8
1.
What is the probability that a respondent 18–29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?
2.
What is the probability that a respondent 30+ years of age thinks that global warming
will not pose a serious threat during his/her lifetime?
3.
For a randomly selected respondent, what is
the probability that a respondent answers yes?
a. 49.06 b. 58.94 c. 4.27
Correct!
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a. 0.4906 b. 0.5894 c. 0.427
a. 4.906 b. 5.894 c. 42.7
Question 8
2
/ 2
pts
Bayes' theorem is applicable when the events for which we want to compute posterior probabilities are not mutually exclusive.
True
Correct!
False
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Oh no! Our expert couldn't answer your question.
Don't worry! We won't leave you hanging. Plus, we're giving you back one question for the inconvenience.
Here's what the expert had to say:
Hi and thanks for your question! Unfortunately, per
Question 1b
The St. Lucian Government is interested in predicting the number of weekly riders on the public buses using the following variables: • Price of bus trips per week
The population in the city
The monthly income of riders
Average rate to park your personal vehicle
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Price per week
Population of city
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1
192,000
$15
1,800,000
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$50
2
190,400
$15
1,790,000
$6,200
$50
3
191,200
$15
1,780,000
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$60
4
177,600
$25
1,778,000
$6,500
$60
5
176,800
$25
1,750,000
$6,550
$60
6
178,400
$25
1,740,000
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