Probability and Statistical Inference (9th Edition)
9th Edition
ISBN: 9780321923271
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
Publisher: PEARSON
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Textbook Question
Chapter 2.1, Problem 5E
The pmf of X is
(a) Graph the pmf as a bar graph.
(b) Use the following independent observations of X, simulated on a computer, to construct a table like Table 2.1-1:
(c) Construct a
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Match the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axes are the same for each diagram.
(a) r= - 0.025
(b) r= - 0.969
(c) r= - 0.787
(d) r= -
Click the icon to view the scatter diagrams.
r= - 0.025
r= - 0.969| r= - 1
r= - 0.787
each of the r-values given above into the appropriate area below.
Explanatory
Explanatory
Explanatory
Explanatory
Response
Response
Response
Response
Match each histogram to the boxplot that represents the same data set.
(a)
(b)
(e)
(d)
(1)
(2)
(3)
(4)
FOR
EACH FXERCISE
. A study was conducted to determine the
relationship between a person's monthly income in
dollars and the number of meals that person eats away from
per month. The data from the sample are shown here.
(The information in this exercise will be used for Exercises
14 and 36 in Section 10-4 and Exercise 16 in Section 10-5.)
SKETCH SCAITERPLOT
home
- FIND SUMMARY STATISTICS
FIND CORRELATION
Income x
500 1200 1500 945 850 400 540
Meals y
8.
12
16
10
3
Chapter 2 Solutions
Probability and Statistical Inference (9th Edition)
Ch. 2.1 - Let the pmf of X be defined by f(x)=x9,x=2,3,4.....Ch. 2.1 - Let a chip be taken at random from a bowl that...Ch. 2.1 - For each of the following, determine the constant...Ch. 2.1 - The state of Michigan generates a three-digit...Ch. 2.1 - The pmf of X is f(x)=(5x)10,x=1,2,3,4. (a) Graph...Ch. 2.1 - Let a random experiment consist of rolling a pair...Ch. 2.1 - Let a random experiment be the casting of a pair...Ch. 2.1 - A fair four-sided die has two faces numbered 0 and...Ch. 2.1 - Let the pmf of X be defined by...Ch. 2.1 - Prob. 10E
Ch. 2.1 - In a lot (collection) of 100 light bulbs, there...Ch. 2.1 - Let X be the number of accidents per week in a...Ch. 2.1 - A professor gave her students six essay questions...Ch. 2.1 - Often in buying a product at a supermarket, there...Ch. 2.1 - Five cards are selected at random without...Ch. 2.1 - Prob. 16ECh. 2.1 - A bag contains 144 ping-pong balls. More than half...Ch. 2.2 - Find E(X) for each of the distributions given in...Ch. 2.2 - Let the random variable X have the pmf...Ch. 2.2 - Let X be a discrete random variable with the...Ch. 2.2 - Prob. 4ECh. 2.2 - Let the random variable X be the number of days...Ch. 2.2 - Let the pmf of X be defined by...Ch. 2.2 - In Example 2.2-1 let Z=u(X)=X3. (a) Find the pmf...Ch. 2.2 - Let X be a random variable with support...Ch. 2.2 - In the gambling game chuck-a-luck, for a $1 bet it...Ch. 2.2 - In the casino game called high—low, there are...Ch. 2.2 - A roulette wheel used in an American casino has 38...Ch. 2.2 - Suppose that a school has 20 classes: 16 with 25...Ch. 2.3 - Find the mean, variance, and index of skewness for...Ch. 2.3 - For each of the following distributions, find...Ch. 2.3 - If the pmf of X is given by f(x), (I) depict the...Ch. 2.3 - Let and 2 denote the mean and variance of the...Ch. 2.3 - Consider an experiment that consists of selecting...Ch. 2.3 - Place eight chips in a bowl: Three have the number...Ch. 2.3 - Let X equal an integer selected at random from the...Ch. 2.3 - Let X equal the larger outcome when two fair...Ch. 2.3 - A warranty is written on a product worth $10,000...Ch. 2.3 - Let X be a discrete random variable with pmf...Ch. 2.3 - If the moment-generating function of X is...Ch. 2.3 - Let X equal the number of people selected at...Ch. 2.3 - For each question on a multiple-choice test, there...Ch. 2.3 - The probability that a machine produces a...Ch. 2.3 - Apples are packaged automatically in 3-pound bags....Ch. 2.3 - Let X equal the number of flips of a fair coin...Ch. 2.3 - Let X equal the number of flips of a fair coin...Ch. 2.3 - Let X have a geometric distribution. Show that...Ch. 2.3 - Given a random permutation of the integers in the...Ch. 2.4 - An urn contains seven red and 11 white balls. Draw...Ch. 2.4 - Suppose that in Exercise 2.4-1, X = 1 if a red...Ch. 2.4 - On a six-question multiple-choice test there are...Ch. 2.4 - It is claimed that 15% of the ducks in a...Ch. 2.4 - In a lab experiment involving inorganic syntheses...Ch. 2.4 - It is believed that approximately 75% of American...Ch. 2.4 - Suppose that 2000 points are selected...Ch. 2.4 - A boiler has four relief valves. The probability...Ch. 2.4 - Suppose that the percentage of American drivers...Ch. 2.4 - A certain type of mint has a label weight of 20.4...Ch. 2.4 - Find the index of skewness for the b(n,p)...Ch. 2.4 - In the casino game chuck-a-luck, three fair six-...Ch. 2.4 - It is claimed that for a particular lottery, 110...Ch. 2.4 - For the lottery described in Exercise 2.4-13, find...Ch. 2.4 - A hospital obtains 40% of its flu vaccine from...Ch. 2.4 - A company starts a fund of M dollars from which it...Ch. 2.4 - Your stockbroker is free to take your calls about...Ch. 2.4 - In group testing for a certain disease, a blood...Ch. 2.4 - Define the pmf and give the values of ,2, and ...Ch. 2.4 - Prob. 20ECh. 2.5 - An excellent free-throw shooter attempts several...Ch. 2.5 - Show that 63512 is the probability that the fifth...Ch. 2.5 - Suppose that a basketball player different from...Ch. 2.5 - Suppose an airport metal detector catches a person...Ch. 2.5 - Let the moment-generating function M(t) of X exist...Ch. 2.5 - Use the result of Exercise 2.6-5 to find the mean...Ch. 2.5 - If E(Xr)=5r,r=1,2,3.... find the moment-generating...Ch. 2.5 - The probability that a companys workforce has no...Ch. 2.5 - One of four different prizes was randomly put into...Ch. 2.5 - In 2016, Red Rose tea randomly began placing one...Ch. 2.6 - Let X have a Poisson distribution with a mean of...Ch. 2.6 - Let X have a Poisson distribution with a variance...Ch. 2.6 - Customers arrive at a travel agency at a mean rate...Ch. 2.6 - If X has a Poisson distribution such that...Ch. 2.6 - Flaws in a certain type of drapery material appear...Ch. 2.6 - Find the index of skewness of a Poisson...Ch. 2.6 - With probability 0.001, a prize of $499 is won in...Ch. 2.6 - Suppose that the probability of suffering a side...Ch. 2.6 - A store selling newspapers orders only n = 4 of a...Ch. 2.6 - The mean of a Poisson random variable X is =9....Ch. 2.6 - An airline always overbooks if possible. A...Ch. 2.6 - A baseball team loses $100,000 for each...Ch. 2.6 - Assume that a policyholder is four times more...
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- Match the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axes are the same for each diagram. (a) r = -1 (b) r= -0.933 (c) r=-0.523 (d) r= -0.038 Click the icon to view the scatter diagrams. r= -0.933 r= -1 r= -0.523 r=-0.038 Drag each of the r-values given above into the appropriate area below. Q Response Explanatory Response Explanatory Q *** Response Explanatory Q Response Explanatoryarrow_forward(b) For each pair of variables, generate the correlation coefficient r. Compute the corresponding coefficient of determination r2. (Use 3 decimal places.) r r2 x1, x2 x1, x3 x1, x4 x2, x3 x2, x4 x3, x4 What percent of the variation in box office receipts can be attributed to the corresponding variation in production costs? (Use 1 decimal place.)arrow_forwardMatch the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axes are the same for each diagram. (a) r = -0.933 (b) r=-0.787 (c) r = -0.025 (d) r= -1 Click the icon to view the scatter diagrams. r= -1 r= -0.933 r=-0.787 r=-0.025 Drag each of the r-values given above into the appropriate area below. Q Response Explanatory Response Explanatory Response Explanatory Q Response Explanatory Qarrow_forward
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