household o 7.82 A survey of households in a farming village in Nepal asked, \"H

Question

household o 7.82 A survey of households in a farming village in Nepal asked, "How many women from your household collect firewood?" and "How many men from your household collect firewood?" The probability distributions of number of women W and men M collecting firewood shown here are consistent with the data published by the Inter university Consortium for Political and Social Research (ICPSR). Probability 0.15 061 0.21 003 1 2 3 4 Probability 0.30 0.54 0.13 002 001 a. Report the mean number collecting firewood for the women and for the men. b. On average, was the number of women collecting firewood much less, a bit less, a bit more, or much more than the number of men collecting? Justify your answer c. On average, what was the total number of adults in each household collecting firewood? Justify your answer. d. Is it reasonable to assume that for a given household, W and M are independent? Explain e. Is it reasonable to suppose that if no women in a household collected firewood, then at least one of the men would have to

Explanation / Answer

a. For women:

Mean number collecting firewood for the women is 1.1.

For men:

Mean number collecting firewood for the men is 0.9.

b. On average, women are collecting bit more than the number of men are collecting.

c. On average, total number of adults in each household collecting firewood = 1.1 + 0.9 = 2

d. No because they live in same household.

w P(w) w P(w) 0 0.15 0.00 1 0.61 0.61 2 0.21 0.42 3 0.03 0.09 Sum 1.00 1.1

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