BOX 2: Take the following information as true The residents of a residence hall can be classified as involved in a relationship, or not. Among involved people, 10% experience a break-up every month. Among those not involved, 5% enter into a relationship every month. You can think of these events as happening once a month, in the middle of the month. Social mixers are organized, once a month, just before the end of the month, to help those who are not involved find partners. People who are involved, however, also attend these mixers and sometimes decide that the ?grass is greener? on the other side, becoming not-involved. In sum, at these mixers 20% of the involved break-up and 10% of the not involved enter a relationship. 3. Refer to Box 2. In steady state, at the end of every month, after the social mixer, what fraction of the residents are not involved? (a) 1/20 (b) 1/10 (c) 2/9 (d) 1/3 (e) 4/9 (f) 1/2 (g) 2/3

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Introduction to Economics B - Problem Set 4
2
BOX 2: Take the following information as true
The residents of a residence hall can be classified as involved in a relationship, or not.
Among involved people, 10% experience a break-up every month. Among those not
involved, 5% enter into a relationship every month. You can think of these events as
happening once a month, in the middle of the month.
Social mixers are organized, once a month, just before the end of the month, to help those
who are not involved find partners. People who are involved, however, also attend these
mixers and sometimes decide that the ?grass is greener? on the other side, becoming
not-involved. In sum, at these mixers 20% of the involved break-up and 10% of the not
involved enter a relationship.
3. Refer to Box 2. In steady state, at the end of every month, after the social mixer,
what fraction of the residents are not involved?
(a) 1/20
(b) 1/10
(c) 2/9
(d) 1/3
(e) 4/9
(f) 1/2
(g) 2/3
Transcribed Image Text:Introduction to Economics B - Problem Set 4 2 BOX 2: Take the following information as true The residents of a residence hall can be classified as involved in a relationship, or not. Among involved people, 10% experience a break-up every month. Among those not involved, 5% enter into a relationship every month. You can think of these events as happening once a month, in the middle of the month. Social mixers are organized, once a month, just before the end of the month, to help those who are not involved find partners. People who are involved, however, also attend these mixers and sometimes decide that the ?grass is greener? on the other side, becoming not-involved. In sum, at these mixers 20% of the involved break-up and 10% of the not involved enter a relationship. 3. Refer to Box 2. In steady state, at the end of every month, after the social mixer, what fraction of the residents are not involved? (a) 1/20 (b) 1/10 (c) 2/9 (d) 1/3 (e) 4/9 (f) 1/2 (g) 2/3
BOX 3: Take the following information as true
The residents of a residence hall can be classified as involved in a relationship, not involved
in a relationship but looking, or 'discouraged' (i.e. concentrating on their studies). Among
involved people, 10% experience a break-up every month and become not involved but
looking. Among those not involved but looking, 5% enter into a relationship every month.
1/3 of the residence hall is permanently discouraged.
Introduction to Economics B - Problem Set 4
3
4. Refer to Box 3. What is the steady state fraction of the residence hall which is
involved?
(a) 1/20
(b) 1/10
(c) 2/9
(d) 1/3
(e) 1/2
(f) 4/9
(g) 2/3
Transcribed Image Text:BOX 3: Take the following information as true The residents of a residence hall can be classified as involved in a relationship, not involved in a relationship but looking, or 'discouraged' (i.e. concentrating on their studies). Among involved people, 10% experience a break-up every month and become not involved but looking. Among those not involved but looking, 5% enter into a relationship every month. 1/3 of the residence hall is permanently discouraged. Introduction to Economics B - Problem Set 4 3 4. Refer to Box 3. What is the steady state fraction of the residence hall which is involved? (a) 1/20 (b) 1/10 (c) 2/9 (d) 1/3 (e) 1/2 (f) 4/9 (g) 2/3
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