Modern Business Statistics with Microsoft Excel (MindTap Course List)
5th Edition
ISBN: 9781285433301
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning
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Textbook Question
Chapter 4.1, Problem 12E
The Powerball lottery is played twice each week in 31 states, the District of Columbia, and the Virgin Islands. To play Powerball, a participant must purchase a $2 ticket, select five numbers from the digits 1 through 59, and then select a Powerball number from the digits 1 through 35. To determine the winning numbers for each game, lottery officials draw 5 white balls out a drum of 59 white balls numbered 1 through 59 and 1 red ball out of a drum of 35 red balls numbered 1 through 35. To win the Powerball jackpot, a participant’s numbers must match the numbers on the 5 white balls in any order and must also match the number on the red Powerball. The numbers 5–16–22–23–29 with a Powerball number of 6 provided the record jackpot of $580 million (Powerball website, November 29, 2012).
- a. How many Powerball lottery outcomes are possible? (Hint: Consider this a two-step random experiment. Select the 5 white ball numbers and then select the 1 red Powerball number.)
- b. What is the
probability that a $2 lottery ticket wins the Powerball lottery?
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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 4 Solutions
Modern Business Statistics with Microsoft Excel (MindTap Course List)
Ch. 4.1 - 1. An experiment has three steps with three...Ch. 4.1 - 2. How many ways can three items be selected from...Ch. 4.1 - 3. How many permutations of three items can be...Ch. 4.1 - Prob. 4ECh. 4.1 - 5. Suppose an experiment has five equally likely...Ch. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - 8. In the city of Milford, applications for zoning...Ch. 4.1 - Prob. 9ECh. 4.1 - Prob. 10E
Ch. 4.1 - Prob. 11ECh. 4.1 - 12. The Powerball lottery is played twice each...Ch. 4.1 - 13. A company that manufactures toothpaste is...Ch. 4.2 - 14. An experiment has four equally likely...Ch. 4.2 - 15. Consider the experiment of selecting a playing...Ch. 4.2 - 16. Consider the experiment of rolling a pair of...Ch. 4.2 - 17. Refer to the KP&L sample points and sample...Ch. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - 20. Junior Achievement USA and the Allstate...Ch. 4.2 - 21. Data on U.S. work-related fatalities by cause...Ch. 4.3 - 22. Suppose that we have a sample space with five...Ch. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - 25. The Eco Pulse survey from the marketing...Ch. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - 28. A survey of magazine subscribers showed that...Ch. 4.3 - 29. High school seniors with strong academic...Ch. 4.4 - 30. Suppose that we have two events, A and B, with...Ch. 4.4 - 31. Assume that we have two events, A and B, that...Ch. 4.4 - Prob. 32ECh. 4.4 -
Students taking the Graduate Management...Ch. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - 36. Jamal Crawford of the National Basketball...Ch. 4.4 - 37. A joint survey by Parade magazine and Yahoo!...Ch. 4.4 - 38. The Institute for Higher Education Policy, a...Ch. 4.5 - 39. The prior probabilities for events A1 and A2...Ch. 4.5 - 40. The prior probabilities for events A1, A2, and...Ch. 4.5 - 41. A consulting firm submitted a bid for a large...Ch. 4.5 - Prob. 42ECh. 4.5 - 43. In August 2012, tropical storm Isaac formed in...Ch. 4.5 - Prob. 44ECh. 4.5 - Prob. 45ECh. 4 - 46. A survey of adults aged 18 and older conducted...Ch. 4 - Prob. 47SECh. 4 -
Below are the results of a survey of 1364...Ch. 4 - 49. A study of 31,000 hospital admissions in New...Ch. 4 - 50. A telephone survey to determine viewer...Ch. 4 - Prob. 51SECh. 4 - 52. An MBA new-matriculants survey provided the...Ch. 4 - Prob. 53SECh. 4 - 54. In February 2012, the Pew Internet & American...Ch. 4 - 55. A large consumer goods company ran a...Ch. 4 - Prob. 56SECh. 4 - 57. A company studied the number of lost-time...Ch. 4 - Prob. 58SECh. 4 - 59. An oil company purchased an option on land in...Ch. 4 - 60. The five most common words appearing in spam...
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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
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