Statistics for Management and Economics (Book Only)
11th Edition
ISBN: 9781337296946
Author: Gerald Keller
Publisher: Cengage Learning
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Question
Chapter 6.2, Problem 54E
(a)
To determine
Calculate the probability of a married millennial.
(b)
To determine
Calculate the probability of a baby boomer who is single and never married.
(c)
To determine
Calculate the probability of a married person.
(d)
To determine
Calculate the probability of someone who is living with a partner, but not married.
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The following table gives the joint probability distribution between employment status and college graduation among those either employed or looking for work (unemployed) in the working age U.S. population.
Unemployed
(Y=0)
Employed
(Y= 1)
Total
Non-college grads (X= 0)
College grads (X= 1)
0.0593
0.6164
0.6757
0.0149
0.3094
0.3243
Total
0.0742
0.926
1.0002
The expected value of Y, denoted E(Y), is
(Round your response to three decimal places.)
The unemployment rate is the fraction of the labor force that is unemployed. Show that the unemployment rate is given by 1- E(Y).
Unemployment rate = 1-=1- E(Y) = 1 – 0.926 = 0.0742.
E(Y |X= 1) is . (Round your response to three decimal places.)
E(Y |X= 0) is
(Round your response to three decimal places.)
The unemployment rate for college graduates is
and the unemployment rate for non-college graduates.is
(Round your responses to three decimal places.)
A randomly selected member of this population reports being unemployed. The probability that…
The following table gives the joint probability distribution between employment status and college graduation among those either employed or
looking for work (unemployed) in the working age U.S. population.
Non-college grads (X=0)
College grads (X= 1)
Total
Unemployed
(Y=0)
0.0554
0.0135
0.0689
Employed
(Y=1)
0.6227
0.3084
0.931
Total
0.6781
0.3219
0.9999
The expected value of Y, denoted E(Y), is 0.931. (Round your response to three decimal places.)
The unemployment rate is the fraction of the labor force that is unemployed. Show that the unemployment rate is given by 1 - E(Y).
Unemployment rate = 1 -
1-E(Y)=1-0.931 = 0.0689.
The following table gives the joint probability distribution between employment status and college graduation among those either employed or looking for work (unemployed) in the working age U.S. population.
Unemployed
(Y= 0)
Employed
(Y= 1)
Total
Non-college grads (X= 0)
0.0320
0.6184
0.6504
0.3418
0.960
College grads (X= 1)
0.0078
0.3496
Total
0.0398
0.9998
The expected value of Y, denoted E(Y), is
(Round your response to three decimal places.)
The unemployment rate is the fraction of the labor force that is unemployed. Show that the unemployment rate is given by 1- E(Y).
Unemployment rate = 1-
= 1- E(Y) = 1 - 0.960 = 0.0398.
E(Y|X= 1) is
(Round your response to three decimal places.)
E(Y|X=0) is (Round your response to three decimal places.)
The unemployment rate for college graduates is
and the unemployment rate for non-college graduates is. (Round your responses to three decimal places.)
A randomly selected member of this population reports being unemployed. The probability that…
Chapter 6 Solutions
Statistics for Management and Economics (Book Only)
Ch. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - Prob. 14ECh. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Prob. 31ECh. 6.2 - Prob. 32ECh. 6.2 - Prob. 33ECh. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 - Prob. 44ECh. 6.2 - Prob. 45ECh. 6.2 - Prob. 46ECh. 6.2 - Prob. 47ECh. 6.2 - Prob. 48ECh. 6.2 - Prob. 49ECh. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.2 - Prob. 57ECh. 6.2 - Prob. 58ECh. 6.3 - Prob. 59ECh. 6.3 - Prob. 60ECh. 6.3 - Prob. 61ECh. 6.3 - Prob. 62ECh. 6.3 - Prob. 63ECh. 6.3 - Prob. 64ECh. 6.3 - Prob. 65ECh. 6.3 - Prob. 66ECh. 6.3 - Prob. 67ECh. 6.3 - Prob. 68ECh. 6.3 - Prob. 69ECh. 6.3 - Prob. 70ECh. 6.3 - Prob. 71ECh. 6.3 - Prob. 72ECh. 6.3 - Prob. 73ECh. 6.3 - Prob. 74ECh. 6.3 - Prob. 75ECh. 6.3 - Prob. 76ECh. 6.3 - Prob. 77ECh. 6.3 - Prob. 78ECh. 6.3 - Prob. 79ECh. 6.3 - Prob. 80ECh. 6.3 - Prob. 81ECh. 6.3 - Prob. 82ECh. 6.3 - Prob. 83ECh. 6.3 - Prob. 84ECh. 6.3 - Prob. 85ECh. 6.3 - Prob. 86ECh. 6.4 - Prob. 87ECh. 6.4 - Prob. 88ECh. 6.4 - Prob. 89ECh. 6.4 - Prob. 90ECh. 6.4 - Prob. 91ECh. 6.4 - Prob. 92ECh. 6.4 - Prob. 93ECh. 6.4 - Prob. 94ECh. 6.4 - Prob. 95ECh. 6.4 - Prob. 96ECh. 6.4 - Prob. 97ECh. 6.4 - Prob. 98ECh. 6.4 - Prob. 99ECh. 6.4 - Prob. 100ECh. 6.4 - Prob. 101ECh. 6.4 - Prob. 102ECh. 6.4 - Prob. 103ECh. 6.4 - Prob. 104ECh. 6.4 - Prob. 105ECh. 6.4 - Prob. 106ECh. 6 - Prob. 107CECh. 6 - Prob. 108CECh. 6 - Prob. 109CECh. 6 - Prob. 110CECh. 6 - Prob. 111CECh. 6 - Prob. 112CECh. 6 - Prob. 113CECh. 6 - Prob. 114CECh. 6 - Prob. 115CECh. 6 - Prob. 116CECh. 6 - Prob. 117CECh. 6 - Prob. 118CECh. 6 - Prob. 119CECh. 6 - Prob. 120CECh. 6 - Prob. 121CECh. 6 - Prob. 122CECh. 6 - Prob. 123CECh. 6 - Prob. 124CECh. 6 - Prob. 125CE
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