
Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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Textbook Question
Chapter 3.2, Problem 3.1E
Determine the
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a =1500, b=1700 what is percentage of a is b
A 12-inch bar that is clamped at both ends is to be subjected to an increasing amount of stress until it snaps. Let Y = the distance from the left end at which the break occurs. Suppose Y has the following pdf.
f(y) =
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(a) Compute the cdf of Y.
F(y) =
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0 ≤ y ≤ 12
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12
y 12
Graph the cdf of Y.
F(y)
1.0
0.8
0.6
0.4
0.2
y
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10
12
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F(y)
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0.6
0.4
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0.6
0.4
0.2
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(b) Compute P(Y ≤ 5), P(Y > 6), and P(5 ≤ y ≤ 6). (Round your answers to three decimal places.)
P(Y ≤ 5) =
P(Y > 6) =
P(5 ≤ y ≤ 6) =
(c) Compute E(Y), E(y²), and V(Y).
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6
8
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A restaurant serves three fixed-price dinners costing $12, $15, and $20. For a randomly selected couple dining at this restaurant, let X = the cost of the man's dinner and Y = the cost of the woman's dinner. The joint pmf of X and Y is given in the following table.
p(x, y)
15
y
12
20
12
0.05 0.10
0.35
x
15
0.00 0.20
0.10
20
0.05 0.05
0.10
(a) Compute the marginal pmf of X.
x
12
Px(x)
Compute the marginal pmf of Y.
y
Pyly)
12
15
20
15
20
(b) What is the probability that the man's and the woman's dinner cost at most $15 each?
(c) Are X and Y independent? Justify your answer.
X and Y are independent because P(x, y) = Px(x) · Py(y).
X and Y are not independent because P(x, y) =Px(x) · Pyly).
X and Y are not independent because P(x, y) * Px(x) · Py(y).
X and Y are independent because P(x, y) * Px(x) · Py(y).
(d) What is the expected total cost, in dollars, of the dinner for the two people?
$
(e) Suppose that when a couple opens fortune cookies at the conclusion of the meal, they find the…
Chapter 3 Solutions
Introduction to Business Statistics
Ch. 3.2 - Determine the mean and the median wage rate for...Ch. 3.2 - Prob. 3.2ECh. 3.2 - Erika operates a website devoted to providing...Ch. 3.2 - A social scientist for a children’s advocacy...Ch. 3.2 - Prob. 3.5ECh. 3.2 - The following is a list of closing prices for 15...Ch. 3.2 - Prob. 3.7ECh. 3.2 - According to a utility company, utility plant...Ch. 3.2 - Prob. 3.9ECh. 3.2 - An observer stands at an overpass and, for each...
Ch. 3.2 - Prob. 3.11ECh. 3.2 - Prob. 3.12ECh. 3.2 - Prob. 3.13ECh. 3.2 - Prob. 3.14ECh. 3.2 - Prob. 3.15ECh. 3.3 - Prob. 3.16ECh. 3.3 - Prob. 3.17ECh. 3.3 - Prob. 3.18ECh. 3.3 - Prob. 3.19ECh. 3.3 - For a sample of 11 employers, the most recent...Ch. 3.3 - According to the U.S. Invironrnental Protection...Ch. 3.3 - For a sample of eight apartment buildings in...Ch. 3.3 - Prob. 3.23ECh. 3.3 - Prob. 3.24ECh. 3.3 - Prob. 3.25ECh. 3.3 - Prob. 3.26ECh. 3.3 - Data file XR02028 shows the depths (in meters)...Ch. 3.4 - Prob. 3.28ECh. 3.4 - According to Chebyshev’s theorem, what percentage...Ch. 3.4 - Prob. 3.30ECh. 3.4 - Prob. 3.31ECh. 3.4 - The manufacturer of an extended-life lighthulh...Ch. 3.4 - For college-bound high school seniors from a...Ch. 3.4 - For data set A, the mean is $1235, with a standard...Ch. 3.4 - Prob. 3.35ECh. 3.4 - Prob. 3.36ECh. 3.4 - Prob. 3.37ECh. 3.4 - Prob. 3.38ECh. 3.5 - Prob. 3.39ECh. 3.5 - Prob. 3.40ECh. 3.5 - Prob. 3.41ECh. 3.6 - Prob. 3.42ECh. 3.6 - For a set of data, r2 is 0.64 and the variables x...Ch. 3.6 - Prob. 3.44ECh. 3.6 - Prob. 3.45ECh. 3.6 - Prob. 3.46ECh. 3.6 - Prob. 3.47ECh. 3 - The first seven ustomers of the day at a small...Ch. 3 - A dental supplies distributor ships a customer 50...Ch. 3 - The 2007 top-grossing feature film was Spiderman...Ch. 3 - Prob. 3.51CECh. 3 - Prob. 3.52CECh. 3 - Prob. 3.53CECh. 3 - Prob. 3.54CECh. 3 - Prob. 3.55CECh. 3 - Prob. 3.56CECh. 3 - A quality control supervisor has taken a sample of...Ch. 3 - Prob. 3.58CECh. 3 - Prob. 3.59CECh. 3 - A law enforcement agency, administering...Ch. 3 - Prob. 3.61CECh. 3 - Prob. 3.62CECh. 3 - Prob. 3.63CECh. 3 - Prob. 3.64CECh. 3 - According to the Energy Information...Ch. 3 - Bride’s magazine reports the cost of the average...Ch. 3 - Prob. 3.67CECh. 3 - Prob. 3.68CECh. 3 - Prob. 3.69CE
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