
Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Question
Chapter 1, Problem 11UP
To determine
Whether the data consisting of classifications A, B, C, D are qualitative or quantitative.
Whether the data, after being input as 1, 2, 3, 4, are qualitative or quantitative.
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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.
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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) =
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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…
Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with λ = 1, (which is identical to a standard gamma distribution with α = 1), compute the following. (If necessary, round your answer to three decimal places.)
(a) the expected time between two successive arrivals
(b) the standard deviation of the time between successive arrivals
(c)
P(X ≤ 1)
(d)
P(2 ≤ X ≤ 4)
You may need to use the appropriate table in the Appendix of Tables
Chapter 1 Solutions
Statistics (13th Edition)
Ch. 1 - Prob. 1UPCh. 1 - 1.2 Explain the difference between descriptive and...Ch. 1 - 1.4 List and define the five elements of an...Ch. 1 - List the four major methods of collecting data,...Ch. 1 - 1.6 Explain the difference between quantitative...Ch. 1 - 1.7 Explain how populations and variables differ.
Ch. 1 - 1.8 Explain how populations and samples differ.
Ch. 1 - 1.9 What is a representative sample? What is its...Ch. 1 - 1.10 Why would a statistician consider an...Ch. 1 - 1.12 Define statistical thinking.
Ch. 1 - 1.13 Suppose you’re given a data set that...Ch. 1 - Applet Exercise 1.1
1. The Random Numbers applet...Ch. 1 - The Random Numbers applet can be used to select a...Ch. 1 - College application. Colleges and universities are...Ch. 1 - STEM experiences for girls. The National Science...Ch. 1 - Drafting NFL quarterbacks. The Journal of...Ch. 1 - Ground motion of earthquakes. In the Journal of...Ch. 1 - Sprint speed training. The Sport Journal (Winter...Ch. 1 - Corrosion prevention of buried steel structures....Ch. 1 - Student GPAs. Consider the set of all students...Ch. 1 - Medicinal value of plants. Sea buckthorn...Ch. 1 - Extinct birds. Biologists at the University of...Ch. 1 - Study of quality of drinking water. Disasters...Ch. 1 - Annual survey of computer crimes. The Computer...Ch. 1 - 1.21 Treasury deficit prior to the Civil War. In...Ch. 1 - Satellite database. The Union for Concerned...Ch. 1 - Prob. 25ACICh. 1 - 1.28 Corporate sustainability and firm...Ch. 1 - CT scanning for lung cancer. A new type of...Ch. 1 - Zillow.com estimates of home values. Zillow.com is...Ch. 1 - Massage vs. rest in boxing. Does a massage enable...Ch. 1 - Insomnia and education. Is insomnia related to...Ch. 1 - Guilt in decision making. The effect of the...Ch. 1 - Can money spent on gifts buy love? Is the gift you...Ch. 1 - Dating and disclosure. As an adolescent, did you...Ch. 1 - Jersey City drug market study. An article in the...Ch. 1 - Your choice for a mom. After running stories on...Ch. 1 - 20/20 survey exposés. Several years ago, the...
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