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# ps1 answer key - EEP 118 Assignment 1 Answer Key Clair Null...

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Unformatted text preview: EEP 118 Assignment 1 - Answer Key Clair Null 1. Distribution of infant mortality rates at di erent levels of GDP per capita (a) [1 point] f (IMR | 1000 < GDP / cap < 2000) = f (IMR = 5 . 4 | 1000 < GDP / cap < 2000) = 0 / 26 = 0 f (IMR = 15 . 4 | 1000 < GDP / cap < 2000) = 0 / 26 = 0 f (IMR = 23 . 6 | 1000 < GDP / cap < 2000) = 2 / 26 = . 077 f (IMR = 32 . 2 | 1000 < GDP / cap < 2000) = 0 / 26 = 0 f (IMR = 53 . 2 | 1000 < GDP / cap < 2000) = 8 / 26 = . 308 f (IMR = 80 . 6 | 1000 < GDP / cap < 2000) = = 6 / 26 = . 231 f (IMR = 115 . 2 | 1000 < GDP / cap < 2000) = 10 / 26 = . 385 (b) [3 points; one for each calculation] E (IMR | 1000 < GDP / cap < 2000) = * 5 . 4 + 0 * 15 . 4 + . 077 * 23 . 6 + 0 * 32 . 2 + . 308 * 53 . 2 + . 231 * 80 . 6 + . 385 * 115 . 2 = 81 . 09 var(IMR | 1000 < GDP / cap < 2000) = * (5 . 4- 81 . 09) 2 + 0 * (15 . 4- 81 . 09) 2 + . 077 * (23 . 6- 81 . 09) 2 + 0 * (32 . 2- 81 . 09) 2 + . 308 * (53 . 2- 81 . 09) 2 + . 231 * (80 . 6- 81 . 09) 2 + . 385 * (115 . 2- 81 . 09) 2 = 941 . 13 σ (IMR | 1000 < GDP / cap < 2000) = √ 941 . 13 = 30 . 68 (c) [OPTIONAL] E (IMR | GDP / cap > 6000) = 19 . 90 var(IMR | GDP / cap > 6000) = 297 . 12 σ (IMR | GDP / cap > 6000) = √ 297 . 12 = 17 . 24 Countries with GDP / cap > \$6000 have a much lower IMR on average than do countries with GDP / cap between \$1000 and \$2000. Moreover, the richer countries also have less variation in IMR across countries than do the poorer countries. We can see both of these facts just by looking at the table, which shows that most of the poor countries have high levels of IMR (ranging from 53.2 to 115.2) whereas the richer countries IMR's are clustered at the low end of the scale.53....
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ps1 answer key - EEP 118 Assignment 1 Answer Key Clair Null...

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