STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 14, Problem 13E
To determine
Compute the
Explain whether the probability that he is from Country U has increased or decreased with additional information.
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20 km, because
GISS
Worksheet 10
Jesse runs a small business selling and delivering mealie meal to the spaza shops.
He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of
mealle meal he delivers. The table below helps him to calculate what to charge
his customers.
10
20
30
40
50
Packets of mealie
meal (m)
Total costs in Rands
80
235
390
545
700
855
(c)
10.1.
Define the following terms:
10.1.1. Independent Variables
10.1.2. Dependent Variables
10.2.
10.3.
10.4.
10.5.
Determine the independent and dependent variables.
Are the variables in this scenario discrete or continuous values? Explain
What shape do you expect the graph to be? Why?
Draw a graph on the graph provided to represent the information in the
table above.
TOTAL COST OF PACKETS OF MEALIE MEAL
900
800
700
600
COST (R)
500
400
300
200
100
0
10
20
30
40
60
NUMBER OF PACKETS OF MEALIE MEAL
Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).
Chapter 14 Solutions
STATS:DATA+MODELS-W/DVD
Ch. 14.1 - 1. Back in Chapter 1, we suggested that you sample...Ch. 14.3 - JUST CHECKING
4. The American Association for...Ch. 14.4 - JUST CHECKING
5. Remember our sample of pages in...Ch. 14 - Prob. 1ECh. 14 - Cooking and shopping Forty-five percent of...Ch. 14 - Sports What is the probability that a person likes...Ch. 14 - Sports again From Exercise 3, if someone doesn’t...Ch. 14 - Late to the train A student figures that he has a...Ch. 14 - Field goals A nervous kicker usually makes 70% of...Ch. 14 - Titanic On the Titanic, the probability of...
Ch. 14 - Births If the sex of a child is independent of all...Ch. 14 - Facebook Facebook reports that 70% of its users...Ch. 14 - Online banking A national survey indicated that...Ch. 14 - Facebook again Suppose that the information in...Ch. 14 - Online banking again Suppose that the information...Ch. 14 - Facebook final Given the probabilities in Exercise...Ch. 14 - Online banking last time Given the probabilities...Ch. 14 - Phones Recent research suggests that 73% of...Ch. 14 - Travel Suppose the probability that a U.S....Ch. 14 - Amenities A check of dorm rooms on a large college...Ch. 14 - Workers Employment data at a large company reveal...Ch. 14 - Global survey The marketing research organization...Ch. 14 - Birth order A survey of students in a large...Ch. 14 - 21. Cards You draw a card at random front a...Ch. 14 - Pets In its monthly report, the local animal...Ch. 14 - 59. Health The probabilities that an adult...Ch. 14 - 60. Immigration The table shows the political...Ch. 14 - 25. Global survey, take 2 Look again at the table...Ch. 14 - 26. Birth order, take 2 Look again at the data...Ch. 14 - Sick kids Seventy percent of kids who visit a...Ch. 14 - Sick cars Twenty percent of cars that are...Ch. 14 - 29. Cards You are dealt a hand of three cards, one...Ch. 14 - 30. Another hand You pick three cards at random...Ch. 14 - 63. Batteries A junk box in your room contains a...Ch. 14 - 64. Shirts The soccer team’s shirts have arrived...Ch. 14 - 65. Eligibility A university requires its biology...Ch. 14 - 66. Benefits Fifty-six percent of all American...Ch. 14 - 35. Cell phones in the home A survey found that...Ch. 14 - Prob. 36ECh. 14 - Prob. 37ECh. 14 - Prob. 38ECh. 14 - Prob. 39ECh. 14 - 40. Birth order, finis In Exercises 20 and 26, we...Ch. 14 - Prob. 41ECh. 14 - Prob. 42ECh. 14 - Prob. 43ECh. 14 - Prob. 44ECh. 14 - Prob. 45ECh. 14 - Prob. 46ECh. 14 - Prob. 47ECh. 14 - Prob. 48ECh. 14 - Prob. 49ECh. 14 - Prob. 50ECh. 14 - Prob. 51ECh. 14 - Prob. 52ECh. 14 - Prob. 53ECh. 14 - Prob. 54ECh. 14 - Prob. 55ECh. 14 - 82. No-shows An airline offers discounted...Ch. 14 - Prob. 57ECh. 14 - Prob. 58ECh. 14 - Prob. 59ECh. 14 - Prob. 60E
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- A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.arrow_forward8. Suppose that the moments of the random variable X are constant, that is, suppose that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.arrow_forward
- 9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qr (h)).arrow_forward10. Prove that, if (t)=1+0(12) as asf->> O is a characteristic function, then p = 1.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x ≤x≤x+h), h>0. (b) Is it true that Qx(ah) =aQx (h)?arrow_forward
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